The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system

DOI10.1016/j.chaos.2004.06.005zbMath1070.35045OpenAlexW1972141228MaRDI QIDQ1776604

Fa-Jun Yu, Deng-Yuan Chen, Tie-cheng Xia

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.005

zbMATH Keywords

loop algebraTu scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Cites Work

• A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• The Modified Korteweg-de Vries Equation
• Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems
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