Y. Prykarpatsky

发表

THE DELSARTE-DARBOUX TYPE BINARY TRANSFORMATIONS, THEIR DIFFERENTIAL-GEOMETRIC AND OPERATOR STRUCTURE WITH APPLICATIONS. PART 1

A. Samoilenko, Y. Prykarpatsky, 2006 .

The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

A. Samoilenko, A. Prykarpatsky, J. Golenia, 2004, math-ph/0404016.

The Bogolubov representation of the polaron model and its completely integrable RPA-approximation

N. Bogolubov, A. Salam, Russian Federation., 2010 .

OPERATOR ANALYSIS OF AN RPA-REDUCED POLARON MODEL WITHIN THE BOGOLUBOV REPRESENTATION IN MAGNETIC FIELD AT FINITE TEMPERATURE. PART 1

N. Bogolubov, A. Ghazaryan, Y. Prykarpatsky, 2009 .

Dark Type Dynamical Systems: The Integrability Algorithm and Applications

R. Kycia, A. Prykarpatski, Y. Prykarpatsky, 2022, Algorithms.

De Rham-Hodge-Skrypnik theory. A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0406062.

Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems

Y. Prykarpatsky, 2002 .

Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type

N. Bogolubov, D. Blackmore, A. Prykarpatski, 2014 .

The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0404026.

The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited

A. Prykarpatsky, M. Pavlov, Y. Prykarpatsky, 2011, 1108.0878.

On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach

N. Bogolubov, A. Prykarpatsky, Y. Prykarpatsky, 2010, 1010.2531.

THE MARSDEN–WEINSTEIN REDUCTION STRUCTURE OF INTEGRABLE DYNAMICAL SYSTEMS AND A GENERALIZED EXACTLY SOLVABLE QUANTUM SUPERRADIANCE MODEL

N. Bogolubov, Y. Prykarpatsky, 2012, 1210.1744.

Theory of Multidimensional Delsarte–Lions Transmutation Operators. I

D. Blackmore, A. Samoilenko, A. Prykarpatsky, 2019, Ukrainian Mathematical Journal.

Theory of Multidimensional Delsarte–Lions Transmutation Operators. II

D. Blackmore, A. Samoilenko, A. Prykarpatsky, 2019, Ukrainian Mathematical Journal.

THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS THE DIFFERENTIAL-GEOMETRIC ASPECTS OF INTEGRABLE DYNAMICAL SYSTEMS

Y. Prykarpatsky, 2007 .

On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries

D. Blackmore, D. Dutykh, A. Prykarpatski, 2022, Analysis and Mathematical Physics.

The Integrability of Lie-invariant Geometric Objects Generated by Ideals in the Grassmann Algebra

D. Blackmore, R. Samulyak, Y. Prykarpatsky, 1998, math-ph/9801203.

New approach to studying the vortex structure of Josephson media equations within the framework of the Chern–Simons–Higgs Lagrangian model

Y. Prykarpatsky, 2002 .

Quantum Current Algebra Symmetry and Description of Boltzmann Type Kinetic Equations in Statistical Physics

Yarema A. Prykarpatsky, Anatolij K. Prykarpatski, Lev I. Ivankiv, 2021, Symmetry.

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

D. Blackmore, A. Prykarpatsky, J. Golenia, 2013, Ukrainian Mathematical Journal.

The Lax–Sato integrable heavenly equations on functional supermanifolds and their Lie-algebraic structure

O. Hentosh, Y. Prykarpatsky, 2020, European Journal of Mathematics.

The dispersionless completely integrable heavenly type Hamiltonian flows and their differential-geometric structure

A. Balinsky, A. Prykarpatski, O. Hentosh, 2019, Annals of Mathematics and Physics.

The Lax–Sato integrable heavenly equations on functional supermanifolds and their Lie-algebraic structure

O. Hentosh, Y. Prykarpatsky, 2019, European Journal of Mathematics.

Lie-algebraic structure of Lax–Sato integrable heavenly equations and the Lagrange–d’Alembert principle

D. Blackmore, A. Prykarpatski, O. Hentosh, 2017 .

Hidden Symmetries of Lax Integrable Nonlinear Systems

D. Blackmore, J. Golenia, Y. Prykarpatsky, 2013 .

A geometrical approach to quantum holonomic computing algorithms

Anatoly M. Samoilenko, Y. A. Prykarpatsky, Ufuk Taneri, 2004, Math. Comput. Simul..

On the Liouville-Arnold Integrable Flows Related with Quantum Algebras and Their Poissonian Representations

D. Blackmore, A. Prykarpatsky, A. Samoilenko, 2004, nlin/0407003.

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

D. Blackmore, J. Golenia, A. Prykarpatsky, 2013, Ukrainian Mathematical Journal.

Isospectral integrability analysis of dynamical systems on discrete manifolds

D. Blackmore, A. Prykarpatsky, Y. Prykarpatsky, 2012 .

The integrable heavenly type equations and their Lie-algebraic structure

D. Blackmore, A. Prykarpatski, O. Hentosh, 2016, 1612.07760.

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations

A. Prykarpatsky, J. Golenia, Y. Prykarpatsky, 2012, 1210.1746.

A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation

D. Blackmore, A. Prykarpatsky, J. Golenia, 2011, 1105.4403.

The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems

A. Prykarpatsky, A. Samoilenko, Y. Prykarpatsky, 2006 .

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2005 .

The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1

A. Prykarpatsky, J. Golenia, Y. Prykarpatsky, 2005 .

A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 2

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0406064.

The Structure of Gelfand-Levitan-Marchenko Type Equations for Delsarte Transmutation Operators of Linear Multi-Dimensional Differential Operators and Operator Pencils. Part 2

J. Golenia, Y. Prykarpatsky, A. Prykarpatsky, 2004, math-ph/0403056.

The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2

A. Samoilenko, Y. Prykarpatsky, 2007 .

A Survey Of The Spectral And Di ff erential Geometric Aspects Of The Generalized De Rham-Hodge Theory Related With Delsarte Transmutation Operators In Multidimension And Applications To Spectral And Soliton Problems Part II ∗

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2006 .

A SURVEY OF THE SPECTRAL AND DIFFERENTIAL GEOMETRIC ASPECTS OF THE GENERALIZED DE RHAM-HODGE THEORY RELATED WITH DELSARTE TRANSMUTATION OPERATORS IN MULTIDIMENSION AND APPLICATIONS TO SPECTRAL AND SOLITON PROBLEMS PART I

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2005 .

A Survey Of The Spectral And Differential Geometric Aspects Of The Generalized De Rham-Hodge Theory Related With Delsarte Transmutation Operators In Multidimension And Applications To Spectral And

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2005 .

A SURVEY OF THE SPECTRAL AND DIFFERENTIAL GEOMETRIC ASPECTS OF THE DE RHAM-HODGE-SKRYPNIK THEORY RELATED WITH DELSARTE TRANSMUTATION OPERATORS IN MULTIDIMENSION AND ITS APPLICATIONS TO SPECTRAL AND SOLITON PROBLEMS. PART 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004 .

The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

A. Samoilenko, A. Prykarpatsky, J. Golenia, 2004, math-ph/0404016.

THE MULTIDIMENSIONAL DELSARTE TRANSMUTATION OPERATORS, THEIR DIFFERENTIAL-GEOMETRIC STRUCTURE AND APPLICATIONS. PART 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2003 .

The Delsarte-Darboux type binary transformations and their differential-geometric and operator structure. Part 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0403055.

DIFFERENTIAL-GEOMETRIC AND TOPOLOGICAL STRUCTURE OF MULTIDIMENSIONAL DELSARTE TRANSMUTATION OPERATORS

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0403054.

THE DIFFERENTIAL-ALGEBRAIC ANALYSIS OF SYMPLECTIC AND LAX STRUCTURES RELATED WITH NEW RIEMANN-TYPE HYDRODYNAMIC SYSTEMS

M. Pavlov, A. Prykarpatski, Y. Prykarpatsky, 2013 .

On The Complete Integrability Of The Ostrovsky-Vakhnenko Equation

Y. Prykarpatsky, 2012, 1205.3415.

On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System

D. Blackmore, A. Prykarpatsky, Y. Prykarpatsky, 2012, 1204.0251.