A new \(4\times 4\) AKNS spectral problem and its associated integrable decomposition of the AKNS equation
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Publication:2257060
DOI10.1007/s11401-007-0162-7zbMath1307.35258OpenAlexW1965883715MaRDI QIDQ2257060
Publication date: 23 February 2015
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-007-0162-7
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Cites Work
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- Nonlinearization of the Lax system for AKNS hierarchy
- Binary nonlinearization of spectral problems of the perturbation AKNS systems.
- Adjoint symmetry constraints of multicomponent AKNS equations.
- The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with \(3\times 3\) matrix spectral problems.
- Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
- Integrable couplings of vector AKNS soliton equations
- The multicomponent generalized Kaup–Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- The deduction of the Lax representation for constrained flows from the adjoint representation
- New Liouville integrable noncanonical Hamiltonian systems from the AKNS spectral problem
- A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
- An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
- New completely integrable Neumann systems related to the perturbation KdV hierarchy
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