A hierarchy of nonlinear evolution equations, its bi-Hamiltonian structure, and finite-dimensional integrable systems
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Publication:2737918
DOI10.1063/1.533226zbMath1031.37059OpenAlexW2007290473MaRDI QIDQ2737918
Publication date: 30 August 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.533226
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (4)
Generalized Darboux transformation and rational soliton solutions for Chen-Lee-Liu equation ⋮ A few continuous and discrete dynamical systems ⋮ Integrable decomposition of a hierarchy of soliton equations and integrable coupling system by semidirect sums of Lie algebras ⋮ Analytic solutions of a class of nonlinear partial differential equations
Cites Work
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- New factorization of the Kaup-Newell hierarchy
- A new completely integrable Liouville’s system produced by the Kaup–Newell eigenvalue problem
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- On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- An exact solution for a derivative nonlinear Schrödinger equation
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- Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem
- Non-abelian integrable systems of the derivative nonlinear Schrödinger type
- Using factorization to solve soliton equations
- A Bargmann system and the involutive representation of solutions of the Levi hierarchy
- A trace identity and its applications to the theory of discrete integrable systems
- C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
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