The hierarchy of an integrable coupling and its Hamiltonian structure

DOI10.1016/J.CNSNS.2009.03.026zbMath1221.37131OpenAlexW2092577538MaRDI QIDQ718102

Chang Lin, Mai-Mai Lin

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.03.026

zbMATH Keywords

Hamiltonian structuretrace identityintegrable couplingquadratic identity

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytical study of nonlinear dust acoustic waves in two-dimensional dust plasma with vortex-like ion distribution
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Series solution for the Schrõdinger equation with a long-range spherically symmetric potential
• Analytical Study for the Potential of a Moving Test Charge in a Collisional Plasma
• Exact Analytical Solutions of the Nonlinear Three-dimensional Debye Screening in Plasmas
• A direct method for integrable couplings of TD hierarchy
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy

This page was built for publication: The hierarchy of an integrable coupling and its Hamiltonian structure