A bi-Hamiltonian formulation for triangular systems by perturbations

DOI10.1063/1.1432775zbMath1059.37052arXivnlin/0112009OpenAlexW2132042564MaRDI QIDQ4830748

Wen-Xiu Ma

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0112009

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20)

Related Items (24)

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Cites Work

• Integrable theory of the perturbation equations.
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Coupled KdV equations with multi-Hamiltonian structures
• Hamiltonian operators and algebraic structures related to them
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• K symmetries and tau symmetries of evolution equations and their Lie algebras
• Complete integrability of the Kortweg-de Vries equation under perturbation around its solution: Lie-Backlund symmetry approach
• Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
• Symmetries and Integrability
• Application of hereditary symmetries to nonlinear evolution equations
• A simple model of the integrable Hamiltonian equation
• A class of coupled KdV systems and their bi-Hamiltonian formulation
• Integrable coupled KdV systems
• On Integrability of a (2+1)-Dimensional Perturbed KdV Equation
• Nonlinearization of spectral problems for the perturbation KdV systems

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