CONSTRUCTING INTEGRABLE COUPLINGS FOR THE C-KdV HIERARCHY

DOI10.1142/S0217984908016571zbMath1154.37365MaRDI QIDQ3545842

Ling Li, Jin Yuan Liu, Huan He Dong

Publication date: 11 December 2008

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

zbMATH Keywords

Hamiltonian structureintegrable couplingsvariational identity\((2+1)\)-dimensional zero curvature equationmulti-component integrable hierarchy system

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)

Cites Work

• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• An approach for constructing nonisospectral hierarchies of evolution equations
• A powerful approach to generate new integrable systems
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems

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