D. Levi

发表

Analysis of nonlinear internal waves observed by Landsat thematic mapper

V. Artale, D. Levi, S. Marullo, 1990 .

Continuous symmetries of difference equations

D. Levi, P. Winternitz, 2005, nlin/0502004.

Integrable systems describing surfaces of non-constant curvature

D. Levi, A. Sym, 1990 .

On Fourier integral transforms for q-Fibonacci and q-Lucas polynomials

N. Atakishiyev, D. Levi, Pedro Franco, 2011, 1112.2073.

Construction of partial difference schemes: I. The Clairaut, Schwarz, Young theorem on the lattice

Miguel A. Rodriguez, D. Levi, 2013 .

Integrable Hierarchies of Nonlinear Di erence Di erence Equations and symmetries

D. Levi, L. Martina, 2001 .

Continuous and discrete matrix Burgers’ hierarchies

D. Levi, M. Bruschi, O. Ragnisco, 1983 .

EVOLUTION-EQUATIONS ASSOCIATED WITH THE DISCRETE ANALOG OF THE MATRIX SCHRODINGER SPECTRAL PROBLEM SOLVABLE BY THE INVERSE SPECTRAL TRANSFORM

D. Levi, M. Bruschi, O. Ragnisco, 1981 .

Extension of the spectral-transform method for solving nonlinear differential difference equations

D. Levi, O. Ragnisco, 1978 .

Classification of five-point differential–difference equations II

D. Levi, R. Yamilov, R. Garifullin, 2016, 1610.07342.

Classification of five-point differential–difference equations II

D. Levi, R. Yamilov, R. Garifullin, 2016, 1708.02456.

Non-invertible transformations of differential–difference equations

D. Levi, R. Yamilov, R. Garifullin, 2016, 1604.05634.

Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube

D. Levi, G. Gubbiotti, C. Scimiterna, 2016 .

Linearizability and fake Lax pair for a consistent around the cube nonlinear non-autonomous quad-graph equation

D. Levi, G. Gubbiotti, C. Scimiterna, 2015, 1510.01527.

On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations

D. Levi, M. Petrera, R. Yamilov, 2008, 0802.1850.

The Sparc project: a high brightness electron beam source at LNF to drive a SASE-FEL experiment

C. Vicario, F. Alessandria, F. Broggi, 2003, Proceedings of the 2003 Particle Accelerator Conference.

Lie group analysis of a generalized Krichever-Novikov differential-difference equation

D. Levi, P. Winternitz, Eugenio Ricca, 2014, 1401.6991.

Discrete version of the nonlinear Schrödinger equation with linearlyx-dependent coefficients

D. Levi, M. Bruschi, O. Ragnisco, 1979 .

Equivalence of a class of Wigner coefficients of SU (1,1) with those of SU (2)

M. Moshinsky, D. Levi, E. Chacón, 1975 .

The lattice Schwarzian KdV equation and its symmetries

D. Levi, M. Petrera, C. Scimiterna, 2007, math-ph/0701044.

Lorentz and Galilei Invariance on Lattices

P. Tempesta, D. Levi, P. Winternitz, 2003, hep-th/0310013.

Perturbative approach to some one-dimensional many-body problems. I: Discussion of the Rayleigh-Schrödinger and Brillouin-Wigner series for the Sutherland model

D. Levi, O. Ragnisco, 1976 .

Multiscale expansion of the lattice sine--Gordon equation

D. Levi, M. Petrera, Xiaoda Ji, 2005, math-ph/0511006.

Discrete reductive perturbation technique

D. Levi, M. Petrera, 2005, math-ph/0510084.

A NEW NONLINEAR SCHRODINGER EQUATION, ITS HIERARCHY AND N SOLITON SOLUTIONS

D. Levi, R. Meinel, G. Neugebauer, 1984 .

Continuous symmetries of difference equations

D. Levi, P. Winternitz, 2005, nlin/0502004.

Lie discrete symmetries of lattice equations

D. Levi, M. A. Rodr'iguez, Miguel A. Rodr'iguez, 2003, math-ph/0307011.

Discrete version of the modified Korteweg-De Vries equation withx-dependent coefficients

D. Levi, M. Bruschi, O. Ragnisco, 1978 .

Discreteq-derivatives and symmetries ofq-difference equations

Mariano A. del Olmo, J. Negro, D. Levi, 2003, Journal of Physics A: Mathematical and General.

Symmetries of discrete dynamical systems

D. Levi, P. Winternitz, 1996 .

Lie Symmetries for Lattice Equations

D. Levi, 2003 .

Lie point symmetries and commuting flows for equations on lattices

D. Levi, P. Winternitz, 2001, math-ph/0112007.

Lie symmetries of multidimensional difference equations

D. Levi, P. Winternitz, S. Tremblay, 2001, 0709.3238.

Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation

Miguel A. Rodriguez, D. Levi, P. Winternitz, 2001 .

Lie point symmetries of difference equations and lattices

D. Levi, P. Winternitz, S. Tremblay, 2000, 0709.3112.

Symmetries of the discrete Burgers equation

D. Levi, P. Winternitz, R. H. Heredero, 1999 .

Lie group formalism for difference equations

Luc Vinet, Decio Levi, Pavel Winternitz, 1997 .

Symmetries and Integrability of Difference Equations

Peter J. Olver, Decio Levi, Pavel Winternitz, 1999 .

Symmetries and conditional symmetries of differential difference equations

D. Levi, P. Winternitz, 1993 .

Continuous symmetries of discrete equations

D. Levi, P. Winternitz, 1991 .

Lie point symmetries and ODEs passing the Painlevé test

D. Levi, P. Winternitz, D. Sekera, 2017, Journal of Nonlinear Mathematical Physics.

The missing piece: a new relativistic wave equation, the Pearcey equation

A. Torre, D. Levi, A. Lattanzi, 2019, Journal of Physics: Conference Series.

Time‐Dependent Free‐Particle Salpeter Equation: Numerical and Asymptotic Analysis in the Light of the Fundamental Solution

A. Torre, D. Levi, A. Lattanzi, 2017 .

Nonlinear differential difference equations as Backlund transformations

Decio Levi, D. Levi, 1981 .

Bäcklund transformations and nonlinear differential difference equations.

D. Levi, R. Benguria, D Levi, 1980, Proceedings of the National Academy of Sciences of the United States of America.

Extension of the Zakharov-Shabat generalized inverse method to solve differential-difference and difference-difference equations

Orlando Ragnisco, Decio Levi, D. Levi, 1980 .

Bäcklund transformations for nonlinear evolution equations in 2 + 1 dimensions

P. Santini, D. Levi, L. Pilloni, 1981 .

Contact transformations for difference schemes

D. Levi, P. Winternitz, C. Scimiterna, 2011, 1110.3409.

Integrability test of discrete nonlinear Schrödinger equations via multiscale reduction

D. Levi, C. Scimiterna, 2010 .

Multiscale reduction of discrete nonlinear Schrödinger equations

D. Levi, M. Petrera, C. Scimiterna, 2009, 0903.3418.

On the integrability of the discrete nonlinear Schrödinger equation

D. Levi, M. Petrera, C. Scimiterna, 2008, 0808.0837.

Multiscale expansion on the lattice and integrability of partial difference equations

D. Levi, R. H. Heredero, M. Petrera, 2007, 0710.5299.

Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation

D. Levi, R. H. Heredero, M. Petrera, 2007, 0709.3704.

Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order

D. Levi, R. H. Heredero, M. Petrera, 2007, 0706.1046.

Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV

D. Levi, 2005, nlin/0505061.

The spectral transform NS a tool for solving nonlinear discrete evolution equations

D. Levi, 1979 .

A hierarchy of coupled Korteweg-de Vries equations and the normalisation conditions of the Hilbert-Riemann problem

Decio Levi, D. Levi, A. Sym, 1983 .

A hierarchy of coupled Korteweg-de Vries equations

Decio Levi, D. Levi, 1983 .

Classification of five-point differential-difference equations

D. Levi, R. Yamilov, R. Garifullin, 2017 .

A difference analogue of the Davey–Stewartson system: discrete Gram-type determinant solution and Lax pair

Gegenhasi, S. Tsujimoto, D. Levi, 2007 .

On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation

Decio Levi, D. Levi, 1988 .

Integrability Conditions for n and t Dependent Dynamical Lattice Equations

D. Levi, R. Yamilov, 2004 .

LETTER TO THE EDITOR: Discrete third-order spectral problems and a new Toda-type equation

D. Levi, A. Grundland, 2002 .

The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem

S. Manakov, D. Levi, M. Bruschi, 1980 .

Continuous symmetries of the lattice potential KdV equation

D. Levi, M. Petrera, 2007, math-ph/0701079.

Non-classical symmetry reduction: example of the Boussinesq equation

Decio Levi, Pavel Winternitz, D. Levi, 1989 .

Bäcklund transformation vs. the dressing method

D. Levi, A. Sym, O. Ragnisco, 1982 .

On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations

D. Levi, O. Ragnisco, M. Rodríguez, 1992 .

Soliton surfaces

D. Levi, M. Bruschi, A. Sym, 1985 .

The inverse scattering transform for solving the discrete sine-Gordon equation

Decio Levi, D. Levi, L. Pilloni, 1982 .

N-solitons on a vortex filament☆

D. Levi, A. Sym, S. Wojciechowski, 1983 .

Integrable three-dimensional lattices

Decio Levi, P. Santini, D. Levi, 1981 .

C-Integrability Test for Discrete Equations via Multiple Scale Expansions

D. Levi, C. Scimiterna, 2010, 1005.5288.

The generalized symmetry method for discrete equations

D. Levi, R. Yamilov, 2009, 0902.4421.

Classification of evolutionary equations on the lattice. I. The general theory

D. Levi, R. Yamilov, 1995, solv-int/9511006.

S I ] 1 D ec 2 01 5 A non autonomous generalization of the Q V equation

D. Levi, G. Gubbiotti, C. Scimiterna, 2017 .

Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube

D. Levi, G. Gubbiotti, C. Scimiterna, 2016, Theoretical and Mathematical Physics.

A non autonomous generalization of the $Q_{\text{V}}$ equation

D. Levi, G. Gubbiotti, C. Scimiterna, 2015, 1512.00395.

On the integrability of a new lattice equation found by multiple scale analysis

D. Levi, C. Scimiterna, Mike Hay, 2014, 1401.5691.

Linearization through symmetries for discrete equations

D. Levi, C. Scimiterna, 2013, 1302.0154.

A discrete integrability test based on multiscale analysis

D. Levi, R. H. Heredero, C. Scimiterna, 2013, 1311.1905.

Classification of discrete systems on a square lattice

D. Levi, C. Scimiterna, R. Hernández Heredero, 2012 .

Classification of discrete systems on a square lattice

D. Levi, C. Scimiterna, R. Hernández Heredero, 2012, Theoretical and Mathematical Physics.

A discrete linearizability test based on multiscale analysis

D. Levi, R. H. Heredero, C. Scimiterna, 2010, 1011.0141.

Integrability test for discrete equations via generalized symmetries

D. Levi, R. Yamilov, 2010, 1010.3400.

Definitions and Predictions of Integrability for Difference Equations

P. Olver, J. Hietarinta, D. Levi, 2011 .

On Partial Differential and Difference Equations with Symmetries Depending on Arbitrary Functions

D. Levi, G. Gubbiotti, C. Scimiterna, 2015, 1512.01967.

Supersymmetric KdV equation: Darboux transformation and discrete systems

Q. P. Liu, D. Levi, Lingling Xue, 2013, 1311.0152.

Equations invariant under the symmetry group of the Kadomtsev-Petviashvili equation

D. Levi, P. Winternitz, Pavel Winternitz, 1988 .

The non autonomous YdKN equation and generalized symmetries of Boll equations

D. Levi, G. Gubbiotti, C. Scimiterna, 2015, 1510.07175.

Generalized symmetry integrability test for discrete equations on the square lattice

D. Levi, R. Yamilov, 2010, 1011.0070.

On a nonlinear integrable difference equation on the square

D. Levi, R. Yamilov, 2009, 0902.2126.

Lie algebra contractions and symmetries of the Toda hierarchy

D. Levi, P. Winternitz, R. H. Heredero, 2000 .

On a discrete Davey–Stewartson system

Gegenhasi, D. Levi, Xing-Biao Hu, 2006, nlin/0604066.

SIDE III—Symmetries and Integrability of Difference Equations

D. Levi, O. Ragnisco, 2000 .

Conditions for the existence of higher symmetries of evolutionary equations on the lattice

Decio Levi, D. Levi, R. I. Yamilov, 1997 .

Construction of higher local (2 + 1) dimensional exponential lattice equations

D. Levi, A. Shabat, O. Ragnisco, 1994 .

The Kundu–Eckhaus equation and its discretizations

Decio Levi, D. Levi, Christian Scimiterna, 2009, 0904.4844.

Non-linear differential-difference equations with N-dependent coefficients. I

D. Levi, O. Ragnisco, 1979 .

Lie symmetries for integrable evolution equations on the lattice

D. Levi, M. Rodríguez, 1999 .

THE INHOMOGENEOUS TODA LATTICE - ITS HIERARCHY AND DARBOUX-BACKLUND TRANSFORMATIONS

D. Levi, O. Ragnisco, 1991 .

On the integrability of a new discrete nonlinear Schrödinger equation

D. Levi, R. Yamilov, 2001 .

The discrete chiral-field hierarchy

D. Levi, M. Bruschi, O. Ragnisco, 1982 .

A two-periodic generalization of the QV equation

D. Levi, G. Gubbiotti, C. Scimiterna, 2017 .

Toward a unification of the various techniques used to integrate non-linear partial differential equations: Bäcklund and Darboux transformations vs. dressing method

D. Levi, 1986 .

The cylindrical Kadomtsev-Petviashvili equation; its Kac-Moody-Virasoro algebra and relation to KP equation

Decio Levi, Pavel Winternitz, D. Levi, 1988 .

Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra

Decio Levi, D. Levi, P. Winternitz, 1986 .

Heisenberg algebra, umbral calculus and orthogonal polynomials

G. Dattoli, G. Dattoli, D. Levi, 2007, 0712.2957.

Lie algebras in the Schrödinger picture and radial matrix elements

M. Moshinsky, D. Levi, E. Chacón, 1976 .

One-boson-exchange potentials and nuclear structure

D. Levi, F. Calogero, 1973 .

Painlevé transcendents : their asymptotics and physical applications

D. Levi, P. Winternitz, 1992 .

The discretized Boussinesq equation and its conditional symmetry reduction

D. Levi, Miguel A. Rodríguez, Z. Thomova, 2020, Journal of Physics A: Mathematical and Theoretical.

Differential Equations Invariant Under Conditional Symmetries

D. Levi, Miguel A. Rodríguez, Z. Thomova, 2017, Journal of Nonlinear Mathematical Physics.

Construction of Partial Differential Equations with Conditional Symmetries

D. Levi, Miguel A. Rodríguez, Z. Thomova, 2019, Integrability, Supersymmetry and Coherent States.

Bäcklund transformations and the infinite-dimensional symmetry group of the Kadomtsev-Petviashvili equation

D. Levi, P. Winternitz, D. David, 1986 .

The Bäcklund transformations for nonlinear evolution equations which exhibit exotic solitons

D. Levi, A. Sym, O. Ragnisco, 1984 .

Continuous Symmetries of Differential-Difference Equations

D. Levi, P. Winternitz, 1995 .

Bäcklund and Darboux transformations : the geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada

C. Rogers, R. Milson, A. Coley, 2001 .

Lie symmetries of difference equations

Mariano A. del Olmo, J. Negro, D. Levi, 2000, nlin/0012043.

Group Theory and Numerical Analysis

P. Olver, G. Quispel, A. Iserles, 2005 .

Asymptotic symmetries of difference equations on a lattice

D. Levi, G. Gaeta, R. Mancinelli, 2005, math-ph/0505017.

SOLITONS IN SHALLOW SEAS OF VARIABLE DEPTH AND IN MARINE STRAITS

Decio Levi, Pavel Winternitz, D. Levi, 1989 .

Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width

Decio Levi, Pavel Winternitz, D. Levi, 1987 .

On higher-order Riccati equations as Bäcklund transformations

D. Levi, A. Grundland, 1999 .

Perturbative approach to some one-dimensional many-body problems

D. Levi, O. Ragnisco, 1977 .

Non-isospectral deformations and Darboux transformations for the third-order spectral problem

D. Levi, O. Ragnisco, 1988 .

Approximate inverse spectral transform for the Korteweg-de Vries equation

D. Levi, O. Ragnisco, 1985 .

On the Olshanetsky-Perelomov many-body system in an external field

D. Levi, S. Wojciechowski, 1984 .

Conformally Invariant Elliptic Liouville Equation and Its Symmetry-Preserving Discretization

D. Levi, P. Winternitz, L. Martina, 2017, Theoretical and Mathematical Physics.

Symmetries of the Continuous and Discrete Krichever-Novikov Equation ⋆

D. Levi, P. Winternitz, R. Yamilov, 2011, 1110.5021.

Integrability of differential-difference equations with discrete kinks

D. Levi, C. Scimiterna, 2010, 1011.0068.

Umbral Calculus, Difference Equations and the

P. Tempesta, D. Levi, P. Winternitz, 2008 .

Umbral calculus, difference equations and the discrete Schrödinger equation

P. Tempesta, D. Levi, P. Winternitz, 2003, nlin/0305047.

Dimensional Reduction for Equations Involving Discrete and Continuous Variables

D. Levi, P. Winternitz, 1993 .

Symmetries of Differential Equations on a Lattice. An Example: The Toda Lattice

D. Levi, P. Winternitz, 1993 .

Symmetry group of partial differential equations and of differential difference equations: the Toda lattice versus the Korteweg-de Vries equation

D. Levi, M. A. Rodriguez, 1992 .

Closed form of second virial coefficient for Sutherland potential

D. Levi, M. Llano, 1975 .

Kadomtsev-Petviashvili Equations in the Description of Water Waves

D. Levi, 1990 .

Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf{Cole Transformations ?

D. Levi, C. Scimiterna, 2011, 1108.3648.

Group theoretical analysis of a rotating shallow liquid in a rigid container

C. Rogers, M. Nucci, D. Levi, 1989 .

Conceptual design of a high-brightness linac for soft X-ray SASE-FEL source

C. Vicario, F. Alessandria, F. Broggi, 2003 .

Design study of a soft X-ray SASE-FEL source

C. Vicario, V. Verzilov, F. Alessandria, 2002 .

Transversal perturbation of longitudinal soliton modes on a free electron laser

G. Dattoli, D. Levi, M. Mattioli, 2003 .

Free electron lasers and soliton propagation

G. Dattoli, D. Levi, M. Mattioli, 1999 .

Time-Dependent Free-Particle Salpeter Equation: Features of the Solutions

A. Torre, D. Levi, A. Lattanzi, 2017 .

λ-symmetries and Jacobi last multiplier

M. C. Nucci, D. Levi, 2013 .

$\lambda$-symmetries and Jacobi Last Multiplier

M. C. Nucci, D. Levi, 2011, 1111.1439.

Conformally Invariant Elliptic Liouville Equation and Its Symmetry-Preserving Discretization

D. Levi, P. Winternitz, L. Martina, 2018, Theoretical and Mathematical Physics.

Structure preserving discretizations of the Liouville equation and their numerical tests

D. Levi, P. Winternitz, L. Martina, 2015, 1504.01953.

Lie-point symmetries of the discrete Liouville equation

D. Levi, P. Winternitz, L. Martina, 2014, 1407.4043.

The quantum Toda lattice

A. Perelomov, D. Levi, M. Bruschi, 1982 .

Heat Polynomials, Umbral Correspondence and Burgers Equations

G. Dattoli, D. Levi, 2006, nlin/0610076.

Nonlinear surface and internal waves in stratified shear flow

V. Artale, D. Levi, 1990 .

Alternatives to the Kadomtsev-Petviashvili equation in the description of water waves in two dimensions

D. Levi, 1989 .

Integrable Nonlinear Evolution Equations in the Description of Waves in the Shallow-Water Long-Wave Approximation

D. Levi, 1990 .

DISCRETE MULTISCALE ANALYSIS: A BIATOMIC LATTICE SYSTEM

D. Levi, G. A. CASSATELLA CONTRA, D. LEVI, 2010, Journal of Nonlinear Mathematical Physics.

Dilation symmetries and equations on the lattice

D. Levi, R. Yamilov, 1999 .

λ-Symmetries for the Reduction of Continuous and Discrete Equations

M. Nucci, D. Levi, M. Rodríguez, 2012, Acta Applicandae Mathematicae.

On immersion formulas for soliton surfaces

D. Levi, L. Martina, A. Grundland, 2016, 1603.07634.

Dressing methodvs. classical Darboux transformation

D. Levi, A. Sym, O. Ragnisco, 1984 .

Bäcklund transformations for chiral field equations

D. Levi, O. Ragnisco, 1982 .

Structure preserving discretizations of the Liouville equation and their numerical tests

D. Levi, P. Winternitz, L. Martina, 2015, 1504.01953.

On a discrete version of the 𝒞P 1 sigma model and surfaces immersed in ℝ3

D. Levi, L. Martina, A. Grundland, 2003 .

AN R&D PROGRAM FOR A HIGH BRIGHTNESS ELECTRON BEAM SOURCE AT LNF

M. G. Castellano, Catia Milardi, Luca Mezi, 2002 .

Multiple-scale analysis of dynamical systems on the lattice

P. Tempesta, D. Levi, 2011 .

Vibrational Properties and Energy Transport in Acetanilide by Molecular Dynamics

A. Campa, A. Tenenbaum, D. Levi, 1990 .

Group invariance of a neo-Hookean system: incorporation of stretch change

C. Rogers, D. Levi, 1990 .

On the construction of partial difference schemes II: discrete variables and Schwarzian lattices

D. Levi, Miguel A. Rodríguez, 2014 .

On the construction of partial difference schemes II: discrete variables and invariant schemes

D. Levi, Miguel A. Rodríguez, 2014, 1407.0838.