TWO HIERARCHIES OF NONLINEAR SOLITON EQUATIONS, NEW INTEGRABLE SYMPLECTIC MAP AND DISCRETE INTEGRABLE COUPLINGS

DOI10.1142/S0217979210054877zbMath1219.37053OpenAlexW2040354368MaRDI QIDQ3010869

Ye-Peng Sun, Hong-Qing Zhao

Publication date: 27 June 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979210054877

zbMATH Keywords

Hamiltonian systemintegrable symplectic mapnonlinear soliton equationdiscrete integrable coupling

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Unnamed Item
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• Integrable theory of the perturbation equations.
• A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system
• A Liouville integrable hierarchy, symmetry constraint, new finite-dimensional integrable systems, involutive solution and expanding integrable models
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• Positive and negative hierarchies of nonlinear integrable lattice models and three integrable coupling systems associated with a discrete spectral problem
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• INTEGRABLE EXPANDING MODELS FOR DISCRETE SYSTEMS APPLICATION: COUPLED TODA AND RELATIVISTIC TODA LATTICE
• A FAMILY OF NEW DISCRETE EQUATIONS ASSOCIATED WITH LOTKA–VOLTERRA LATTICE AND ITS INTEGRABLE COUPLINGS
• Integrable semi-discretization of the coupled nonlinear Schrödinger equations
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• Complete integrability of derivative nonlinear Schrödinger-type equations
• Topics in quantum integrable systems
• A powerful approach to generate new integrable systems
• INTEGRABLE COUPLINGS AND NEW EXACT SOLUTIONS FOR THE NONISOSPECTRAL AKNS EQUATION
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras

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