Applications of an anti-symmetry loop algebra and its expanding forms

DOI10.1016/j.chaos.2003.12.015zbMath1048.37065OpenAlexW1969644900MaRDI QIDQ1878206

Qingyou Yan, Yu-Feng Zhang

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.015

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)

Related Items (9)

Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ A Liouville integrable hierarchy, symmetry constraint, new finite-dimensional integrable systems, involutive solution and expanding integrable models ⋮ Two integrable couplings of the Tu hierarchy and their Hamiltonian structures ⋮ The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions ⋮ A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems ⋮ A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system ⋮ A generalized AKNS hierarchy and its bi-Hamiltonian structures ⋮ Two types of new Lie algebras and corresponding hierarchies of evolution equations ⋮ A generalized cubic Volterra lattice hierarchy and its integrable couplings system

Cites Work

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• Darboux transformations of classical Boussinesq system and its new solutions
• Integrable couplings of the hierarchies of evolution equations.
• A New Integrable Nonlinear Evolution Equation
• The Modified Korteweg-de Vries Equation
• New Integrable Nonlinear Evolution Equations
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• Canonical and Noncanonical Recursion Operators in Multidimensions
• The inverse scattering transform: Semi-infinite interval
• A simple model of the integrable Hamiltonian equation
• The finite-band solution of the Jaulent–Miodek equation

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