P. Naumkin

发表

On the new critical exponent for the nonlinear Schrödinger equations

N. Hayashi, P. Naumkin, 2014 .

The far-field asymptotics of solutions of a fractional non-linear equation

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2012 .

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

N. Hayashi, P. I. Naumkin, P. Naumkin, 2012 .

Quadratic derivative nonlinear Schrödinger equations in two space dimensions

N. Hayashi, P. I. Naumkin, Fernando Bernal-Vílchis, 2011 .

Domain and Range of the Modified Wave Operator for Schrödinger Equations with a Critical Nonlinearity

N. Hayashi, P. Naumkin, 2006 .

Asymptotics for Fractional Nonlinear Heat Equations

N. Hayashi, E. Kaikina, P. Naumkin, 2005 .

Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential

N. Hayashi, P. I. Naumkin, P. Naumkin, 2001 .

Analytic Smoothing Effects for Nonlocal Nonlinear Shrödoinger Equations in Two Space Dimensions

N. Hayashi, P. Naumkin, H. Uchida, 2000 .

Large time asymptotics of solutions to the generalized Benjamin-Ono equation

Nakao Hayashi, Pavel I. Naumkin, N. Hayashi, 1999 .

Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations

Nakao Hayashi, Pavel I. Naumkin, N. Hayashi, 1998 .

Large Time Asymptotics for the Kadomtsev–Petviashvili Equation

N. Hayashi, P. Naumkin, 2014 .

Asymptotics for Large Time of Global Solutions to the Generalized Kadomtsev–Petviashvili Equation

Jean-Claude Saut, Nakao Hayashi, Pavel I. Naumkin, 1999 .

LARGE TIME ASYMPTOTICS OF SOLUTIONS TO THE GENERALIZED KORTEWEG-DE VRIES EQUATION

Nakao Hayashi, Pavel I. Naumkin, N. Hayashi, 1998 .

Asymptotics in the critical case for Whitham type equations

N. Hayashi, E. Kaikina, P. Naumkin, 2007 .

Large Time Asymptotics for the Kadomtsev–Petviashvili Equation

N. Hayashi, P. Naumkin, 2014, Communications in Mathematical Physics.

Almost Global Existence of Solutions to the Kadomtsev-Petviashvili Equations

N. Hayashi, T. Niizato, P. Naumkin, 2012 .

Quadratic nonlinear Klein-Gordon equation in one dimension

N. Hayashi, P. Naumkin, 2012 .

Nonlinear Nonlocal Equations in the Theory of Waves

Pavel I. Naumkin, Il'ya Andreevich Shishmarev, I. A. Shishmarev, 1994 .

Asymptotics for the Korteweg–de Vries–Burgers Equation

N. Hayashi, P. Naumkin, 2006 .

Wellposedness and analytic smoothing effect for the Benjamin-Ono equation

T. Ogawa, E. I. Kaikina, P. I. Naumkin, 2002 .

Analytic Smoothing Effect for the Benjamin-Ono Equations (Studies on structure of solutions of nonlinear PDEs and its analytical methods)

T. Ogawa, Keiichi Kato, E. Kaikina, 2001 .

Scattering operator for nonlinear Klein–Gordon equations in higher space dimensions

N. Hayashi, P. I. Naumkin, P. Naumkin, 2008 .

Quadratic nonlinear Klein–Gordon equation in 2d, Cauchy problem

N. Hayashi, P. Naumkin, 2015 .

A quadratic quasi-linear Klein–Gordon equation in two space dimensions

N. Hayashi, P. Naumkin, 2013, Journal of Evolution Equations.

A bilinear estimate and its application to a quadratic nonlinear Klein–Gordon equation in two space dimensions

N. Hayashi, P. Naumkin, 2016 .

SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS

N. Hayashi, P. I. Naumkin, P. Naumkin, 2009 .

Modified scattering for the higher-order anisotropic nonlinear Schrödinger equation in two space dimensions

N. Hayashi, P. I. Naumkin, P. Naumkin, 2021, Journal of Mathematical Physics.

Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation

P. Naumkin, 1996, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Large Time Asymptotics for the Fractional Order Cubic Nonlinear Schrödinger Equations

N. Hayashi, P. Naumkin, 2017 .

Large Time Asymptotics for the Reduced Ostrovsky Equation

N. Hayashi, P. Naumkin, 2015 .

On the inhomogeneous fourth-order nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2015 .

Asymptotic properties of solutions to dispersive equation of Schrödinger type

N. Hayashi, P. Naumkin, 2008 .

Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d

N. Hayashi, P. I. Naumkin, Chunhua Li, 2012 .

On a system of nonlinear Schrödinger equations in 2d

N. Hayashi, P. I. Naumkin, Chunhua Li, 2011, Differential and Integral Equations.

Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

Chunhua Li, Nakao Hayashi, Pavel I. Naumkin, 2016 .

Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation

P. Naumkin, J. Villela‐Aguilar, 2022, Studies in Applied Mathematics.

On the Schrödinger Equation with Dissipative Nonlinearities of Derivative Type

Nakao Hayashi, Pavel I. Naumkin, Hideaki Sunagawa, 2007, SIAM J. Math. Anal..

Asymptotics for large time of solutions for cubic nonlinear Schrodinger equations (Spectral and Scattering Theory and Related Topics)

N. Hayashi, P. Naumkin, 2010 .

Final state problem for the cubic nonlinear Klein-Gordon equation

N. Hayashi, P. Naumkin, 2009 .

Asymptotics of odd solutions for cubic nonlinear Schrödinger equations

N. Hayashi, P. Naumkin, 2009 .

The initial value problem for the cubic nonlinear Klein–Gordon equation

N. Hayashi, P. I. Naumkin, P. Naumkin, 2008 .

Large Time Behavior for the Cubic Nonlinear Schrödinger Equation

N. Hayashi, P. Naumkin, 2002, Canadian Journal of Mathematics.

MODIFIED WAVE OPERATORS FOR NONLINEAR SCHR¨ ODINGER EQUATIONS IN ONE AND TWO DIMENSIONS

A. Shimomura, N. Hayashi, P. I. Naumkin, 2004 .

Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces

N. Hayashi, P. Naumkin, 2011, Differential and Integral Equations.

On the critical nongauge invariant nonlinear Schrödinger equation

Isahi Sánchez-Suarez, P. Naumkin, 2011 .

Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation

N. Hayashi, E. Kaikina, P. Naumkin, 1998 .

Asymptotics in Time of Solutions to Nonlinear Schrödinger Equations in Two Space Dimensions

N. Hayashi, P. Naumkin, 2006 .

NONEXISTENCE OF ASYMPTOTICALLY FREE SOLUTIONS TO NONLINEAR SCHRÖDINGER SYSTEMS

Liang Chunhua, P. Naumkin, 2012 .

MODIFIED WAVE OPERATORS FOR NONLINEAR SCHRÖDINGER EQUATIONS IN LOWER ORDER SOBOLEV SPACES

N. Hayashi, P. I. Naumkin, Huimei Wang, 2011 .

Remark on the global existence and large time asymptotics of solutions for the quadratic NLS

N. Hayashi, P. Naumkin, 2011 .

Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions revisited

N. Hayashi, S. Tonegawa, P. Naumkin, 2009, Zeitschrift für angewandte Mathematik und Physik.

SUBCRITICAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATION

N. Hayashi, P. Naumkin, 2011 .

Modified Scattering States for Subcritical Derivative Nonlinear Schrödinger Equations

N. Hayashi, P. Naumkin, Yasuko Yamazaki, 2001 .

Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D

N. Hayashi, Tetsu Mizumachi, P. Naumkin, 2003, Differential and Integral Equations.

Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

N. Hayashi, Yuichiro Kawahara, P. Naumkin, 2006 .

The dissipative property of a cubic non-linear Schrödinger equation

P. Naumkin, 2015 .

Logarithmic Time Decay for the Cubic Nonlinear Schrödinger Equations

N. Hayashi, P. Naumkin, 2015 .

Nonlinear Schrödinger systems in 2d with nondecaying final data

N. Hayashi, P. I. Naumkin, Chunhua Li, 2016 .

Global existence of solutions to nonlinear dispersive wave equations

N. Hayashi, P. Naumkin, Seishirou Kobayashi, 2012, Differential and Integral Equations.

Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case

N. Hayashi, P. Naumkin, Jesus A. Mendez-Navarro, 2016 .

Scattering of solutions to the fourth-order nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, Jesus A. Mendez-Navarro, 2016 .

Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations

N. Hayashi, P. I. Naumkin, Chunhua Li, 2017 .

Smoothing effects for some derivative nonlinear Schrödinger equations without smallness condition

N. Hayashi, P. Pipolo, P. Naumkin, 1999, SUT Journal of Mathematics.

Global existence of solutions for a subcritical nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2014 .

A quadratic nonlinear Schrödinger equation in one space dimension

N. Hayashi, P. Naumkin, 2002 .

Cubic Derivative Nonlinear Schrödinger Equations*

P. Naumkin, 2000, SUT Journal of Mathematics.

SCATTERING PROBLEM AND ASYMPTOTICS FOR A RELATIVISTIC NONLINEAR SCHRODINGER EQUATION

J. Saut, N. Hayashi, P. Naumkin, 1999 .

Large Time Behavior of Solutions for Derivative Cubic Nonlinear Schrödinger Equations

N. Hayashi, P. Naumkin, H. Uchida, 1999 .

Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 1998 .

ASYMPTOTIC BEHAVIOR FOR A QUADRATIC NONLINEAR SCHR¨ ODINGER EQUATION

N. Hayashi, P. Naumkin, 2008 .

Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions revisited

N. Hayashi, P. I. Naumkin, S. Tonegawa, 2012 .

Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations

N. Hayashi, P. Naumkin, Y. Yamazaki, 2001 .

ANALYTIC SMOOTHING EFFECTS FOR SOME DERIVATIVE NONLINEAR SCHRODINGER EQUATIONS

N. Hayashi, P. Pipolo, P. Naumkin, 2000 .

On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension

N. Hayashi, P. I. Naumkin, E. Kaikina, 1998 .

REMARKS ON SCATTERING THEORY AND LARGE TIME ASYMPTOTICS OF SOLUTIONS TO HARTREE TYPE EQUATIONS WITH A LONG RANGE POTENTIAL

N. Hayashi, P. Naumkin, 1998, SUT Journal of Mathematics.

On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations

N. Hayashi, Keiichi Kato, P. Naumkin, 1998 .

Asymptotics for Dissipative Nonlinear Equations

I. A. Shishmarev, E. Kaikina, 林仲夫, 2006 .

ASYMPTOTIC BEHAVIOUR FOR SCHR ODINGER EQUATIONS WITH A QUADRATIC NONLINEARITY IN ONE-SPACE DIMENSION

N. Hayashi, P. Naumkin, 2001 .

On the quadratic nonlinear Schrödinger equation in three space dimensions

Nakao Hayashi, Pavel I. Naumkin, N. Hayashi, 2000 .

Global existence of small solutions to the generalized derivative nonlinear Schrödinger equation

Changxing Miao, Nakao Hayashi, Pavel I. Naumkin, 1999 .

A quadratic quasi-linear Klein–Gordon equation in two space dimensions

N. Hayashi, P. Naumkin, 2013 .

Nonlinear scattering for a system of nonlinear Klein–Gordon equations

N. Hayashi, R. B. E. Wibowo, P. Naumkin, 2008 .

Solution asymptotics at large times for the non-linear Schrödinger equation

P. I. Naumkin, P. Naumkin, 1997 .

Dissipative property for higher order nonlinear Schrödinger equation

Isahi Sánchez-Suarez, P. Naumkin, 2019, Nonlinear Analysis.

Nonlinear dispersive wave equations in two space dimensions

N. Hayashi, P. Naumkin, Seishirou Kobayashi, 2015 .

Modified scattering for the fractional nonlinear Schrödinger equation with $$\alpha \in ({3 \over 2},2)$$

N. Hayashi, Isahi Sánchez-Suarez, P. Naumkin, 2023, Journal d'Analyse Mathématique.

Fractional nonlinear Schrödinger equation of order α∈(0,1)

P. Naumkin, 2020 .

Large Time Asymptotics for the Fractional Order Cubic Nonlinear Schrödinger Equations

N. Hayashi, P. Naumkin, 2016, Annales Henri Poincaré.

Global existence of small solutions for the fourth-order nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, K. Aoki, 2016 .

Large time asymptotics for the fourth-order nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2015 .

On the Modified Korteweg–De Vries Equation

N. Hayashi, P. Naumkin, P. Naumkin, 2001, International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367).

On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2001 .

Asymptotics for the higher-order derivative nonlinear Schrödinger equation

Isahi Sánchez-Suarez, P. Naumkin, 2021, Communications on Pure and Applied Analysis.

Scattering Problem for the Supercritical Nonlinear Schrödinger Equation in 1d

N. Hayashi, P. I. Naumkin, P. Naumkin, 2015 .

ASYMPTOTIC BEHAVIOUR FOR SCHRÖDINGER EQUATIONS WITH A QUADRATIC NONLINEARITY IN ONE-SPACE DIMENSION

N. Hayashi, P. Naumkin, 2001 .

Wave operator for the system of the Dirac–Klein–Gordon equations

M. Ikeda, N. Hayashi, P. Naumkin, 2011 .

Scattering theory for the Hartree equation

N. Hayashi, T. Ozawa, P. Naumkin, 1996 .

Modified scattering for higher-order nonlinear Hartree-type equations

H. Ruiz-Paredes, P. Naumkin, B. Juárez-Campos, 2021, Zeitschrift für angewandte Mathematik und Physik.

Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case

N. Hayashi, P. Naumkin, 2015 .

Remark on a weakly coupled system of nonlinear damped wave equations

N. Hayashi, P. Naumkin, Masayo Tominaga, 2015 .

Large time asymptotics for the fractional nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2020, Advances in Differential Equations.

Fractional nonlinear Schrödinger equation

Isahi Sánchez-Suarez, P. Naumkin, Jesus A. Mendez-Navarro, 2019, Zeitschrift für angewandte Mathematik und Physik.

P. I. Naumkin, Fernando Bernal-Vílchis, P. Naumkin, 2019, Journal of Evolution Equations.

Large time asymptotics for the higher-order nonlinear nonlocal Schrödinger equation

P. I. Naumkin, B. Juarez-Campos, P. Naumkin, 2021 .

Higher-order nonlinear Schrödinger equation in 2D case

N. Hayashi, P. Naumkin, 2020 .

Factorization technique for the fourth-order nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2015 .

Scattering operator for the fourth order nonlinear Schrüdinger equation

N. Hayashi, Yuichiro Kawahara, P. Naumkin, 2021, Hokkaido Mathematical Journal.

Factorization technique for the fourth-order nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2015, Zeitschrift für Angewandte Mathematik und Physik.

Final state problem for Korteweg-de Vries type equations

N. Hayashi, P. I. Naumkin, P. Naumkin, 2006 .

Modified wave operator for Schrodinger type equations with subcritical dissipative nonlinearities

N. Hayashi, P. Naumkin, 2007 .

Nonlinear nonlocal Schrödinger type equations on a segment

Isahi Sánchez-Suarez, E. Kaikina, P. Naumkin, 2004, SUT Journal of Mathematics.

On the Davey–Stewartson and Ishimori Systems

N. Hayashi, P. Naumkin, 1999 .

Analyticity of solutions to the non gauge invariant Schrödinger equations

G. Hoshino, P. Naumkin, 2017 .

Scattering operator for semirelativistic Hartree type equation with a short range potential

T. Ogawa, N. Hayashi, P. Naumkin, 2015, Differential and Integral Equations.

Damped wave equation with super critical nonlinearities

Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin, 2004, Differential and Integral Equations.

Damped wave equation in the subcritical case

Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin, 2004 .

Asymptotics for the modified witham equation

N. Hayashi, Isahi Sánchez-Suarez, P. Naumkin, 2018 .

Damped wave equation with a critical nonlinearity in higher space dimensions

N. Hayashi, P. Naumkin, 2017 .

On the critical nonlinear damped wave equation with large initial data

Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin, 2007 .

Damped wave equation with a critical nonlinearity

N. Hayashi, E. Kaikina, P. Naumkin, 2005 .

Periodic boundary value problem for nonlinear Sobolev-type equations

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2010 .

The Cauchy problem for an equation of Sobolev type with power non-linearity

E. I. Kaikina, P. I. Naumkin, Il'ya Andreevich Shishmarev, 2005 .

Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2009 .

P. I. Naumkin, Fernando Bernal-Vílchis, P. Naumkin, 2019, Journal of Evolution Equations.

Modified scattering for the derivative fractional nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2023, Journal of Mathematical Analysis and Applications.

Modified Scattering Operator for the Derivative Nonlinear Schrödinger Equation

Zihua Guo, Nakao Hayashi, Pavel I. Naumkin, 2013, SIAM J. Math. Anal..

Asymptotic behavior for large time of solutions to the nonlinear nonlocal Schrödinger equation on half-line

I. A. Shishmarev, E. Kaikina, P. Naumkin, 1999, SUT Journal of Mathematics.

Global existence and time decay of small solutions to the landau-ginzburg type equations

E. I. Kaikina, N. Hayashi, P. I. Naumkin, 2003 .

Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations

E. I. Kaikina, N. Hayashi, P. I. Naumkin, 2004 .

Periodic problem for the nonlinear damped wave equation with convective nonlinearity

P. Naumkin, B. Juárez-Campos, Rafael Carreño-Bolaños, 2020, Studies in Applied Mathematics.

The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation

N. Hayashi, P. Naumkin, 2010 .

Asymptotics of solutions to the generalized Ostrovsky equation

N. Hayashi, T. Niizato, P. Naumkin, 2013 .

A system of quadratic nonlinear Klein–Gordon equations in 2d

N. Hayashi, P. Naumkin, 2013 .

Asymptotics for nonlinear heat equations

N. Hayashi, P. Naumkin, 2011 .

Nonlinear Nonlocal Equations in the Theory of Waves

I. A. Shishmarev, P. Naumkin, 1994 .

Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation

P. Naumkin, 2019, Sbornik: Mathematics.

On the modified intermediate long-wave equation

P. I. Naumkin, Isahi Sánchez-Suarez, P. Naumkin, 2018 .

Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors

H. R. Paredes, E. Kaikina, P. Naumkin, 2018 .

Large-Time Asymptotics of Solutions of the Nonlinear SCHRÖDINGER Equation in 2+1 Dimensions

P. Naumkin, 1994 .

Asymptotics of solutions to the periodic problem for a Burgers type equation

P. Naumkin, Cristian Jesus Rojas-Milla, 2011 .

Large time asymptotics for the fractional modiﬁed Korteweg-de Vries equation of order ˛ ∈ [4 , 5 )

P. Naumkin, Rafael Carreño-Bolaños, 2022 .

Large time asymptotics for the fractional modified Korteweg-de Vries equation of order $$\alpha \in \left[ 4,5\right) $$

P. Naumkin, Rafael Carreño-Bolaños, 2023, Journal of Pseudo-Differential Operators and Applications.

Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation

N. Hayashi, P. Naumkin, 2022, Nonlinear Differential Equations and Applications NoDEA.

Large time asymptotics for the fractional modified Korteweg-de Vries equation with $$\alpha \in \left( 2,4\right) $$ α ∈ 2

N. Hayashi, Isahi Sánchez-Suarez, P. Naumkin, 2022, Partial Differential Equations and Applications.

Asymptotics of solutions of a modified Whitham equation with surface tension

P. Naumkin, 2019, Izvestiya: Mathematics.

A?boundary-value problem for a?non-linear equation with a?fractional derivative

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2009 .

Neumann problem for a nonlinear nonlocal equation on a half-line

P. Naumkin, Rosa E. Cardiel-Cervantes, 2009, SUT Journal of Mathematics.

Asymptotics for a sobolev type equation with a critical nonlinearity

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2007 .

On the Cauchy problem for nonlinear dissipative systems

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2007 .

On Sobolev-type equations with critical nonlinearities

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2006 .

Asymptotics of solutions for sub critical non‐convective type equations

N. Hayashi, E. Kaikina, P. Naumkin, 2005 .

Cauchy problem for non-linear systems of equations in the critical case

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2004 .

Asymptotics of solutions of non-linear dissipative equations

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2004 .

Asymptotics for the Burgers Equation with Pumping

N. Hayashi, P. Naumkin, 2003 .

Asymptotics for Nonlinear Evolution Equations with Small Dissipation

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2003 .

Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation

N. Hayashi, P. I. Naumkin, E. Kaikina, 2000, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Asymptotic behaviour as $ t\to \infty$ of the solutions of the generalized Korteweg-de Vries equation

I. A. Shishmarev, P. Naumkin, 1996 .

Asymptotics for critical nonconvective type equations

Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin, 2004, Int. J. Math. Math. Sci..

Large time asymptotics for the fractional modiﬁed Korteweg-de Vries equation of order ˛ ∈ [4 , 5 )

P. Naumkin, Rafael Carreño-Bolaños, 2022 .

Asymptotic representation of surface waves in the form of two traveling burgers waves

I. A. Shishmarev, P. Naumkin, 1995 .

Large Time Asymptotics for the BBM–Burgers Equation

N. Hayashi, E. Kaikina, P. Naumkin, 2007 .

Asymptotics for the fractional nonlinear Schrödinger equation with 2<α<52\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document

N. Hayashi, P. Naumkin, Jesus A. Mendez-Navarro, 2022, Journal of Pseudo-Differential Operators and Applications.

Asymptotics ast → ∞ of the solutions of nonlinear equations with nonsmall initial perturbations

I. A. Shishmarev, P. Naumkin, 1996 .

ASYMPTOTICS FOR LARGE TIME OF SOLUTIONS OF A SYSTEM OF EQUATIONS FOR SURFACE WAVES

I. A. Shishmarev, P. Naumkin, 1992 .

Properties of solutions of a nonlinear system of equations

P. I. Naumkin, I. A. Shishmarev, P. Naumkin, 1996 .

Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

N. Hayashi, P. I. Naumkin, J. Rodriguez-Ceballos, 2010 .

Periodic problem for a model nonlinear evolution equation

I. A. Shishmarev, E. Kaikina, P. Naumkin, 2002, Advances in Differential Equations.

Asymptotics for the fractional nonlinear Schrödinger equation with $$2<\alpha <\frac{5}{2}$$

N. Hayashi, P. Naumkin, Jesus A. Mendez-Navarro, 2022, Journal of Pseudo-Differential Operators and Applications.

ASYMPTOTICS FOR NONLINEAR NONLOCAL EQUATIONS ON A HALF-LINE

E. Kaikina, P. Naumkin, Rosa E. Cardiel, 2006 .

Large time decay of solutions to Burgers type equations

N. Hayashi, Naoko Ito, E. Kaikina, 2005 .

ON SOME NONLINEAR DISSIPATIVE EQUATIONS WITH SUB-CRITICAL NONLINEARITIES

N. Hayashi, Naoko Ito, E. Kaikina, 2004 .

LANDAU–GINZBURG TYPE EQUATIONS IN THE SUBCRITICAL CASE

N. Hayashi, E. Kaikina, P. Naumkin, 2003 .

Asymptotic expansion of small solutions to the Landau-Ginzburg type equations

N. Hayashi, E. Kaikina, P. Naumkin, 2002 .

KdV type asymptotics for solutions to higher-order nonlinear Schrodinger equations

Isahi Sánchez-Suarez, P. Naumkin, 2020, Electronic Journal of Differential Equations.

Modified KdV equation with higher order dispersion terms

Jhon J. Pérez, P. Naumkin, 2019, Nonlinear Differential Equations and Applications NoDEA.

High-Speed Transmission in Long-Haul Electrical Systems

H. Ruiz-Paredes, E. Kaikina, P. Naumkin, 2018 .

Higher-order derivative nonlinear Schrödinger equation in the critical case

P. I. Naumkin, Jhon J. Pérez, P. Naumkin, 2018 .

Global Existence of Small Solutions to the Quadratic Nonlinear Schrödinger Equations in Two Space Dimensions

Nakao Hayashi, Pavel I. Naumkin, N. Hayashi, 2001, SIAM J. Math. Anal..

The step-decay problem for the Korteweg-de Vries-Burgers equation

I. A. Shishmarev, P. Naumkin, 1991 .