New Lax integrable hierarchy and its Liouville integrable bi-Hamiltonian structure associated an isospectral problem with an arbitrary function.

DOI10.1016/S0960-0779(01)00214-4zbMath1162.37331MaRDI QIDQ1610437

Zhenya Yan

Publication date: 19 August 2002

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

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

A multi-component integrable hierarchy and its multi-component expanding integrable model ⋮ A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system ⋮ Two types of new Lie algebras and corresponding hierarchies of evolution equations

Cites Work

• New Integrable Nonlinear Evolution Equations
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A simple model of the integrable Hamiltonian equation
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