Hierarchies, integrable decompositions and conservation laws of Geng equation
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Publication:1001861
DOI10.1016/j.na.2008.02.089zbMath1159.35414OpenAlexW2084419992MaRDI QIDQ1001861
Deng-Yuan Chen, Jie Ji, Yu-Qin Yao
Publication date: 19 February 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.02.089
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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Cites Work
- Nonlinearization of the Lax system for AKNS hierarchy
- Integrable theory of the perturbation equations.
- Two types of new integrable decompositions of the Kaup-Newell equation
- Semi-direct sums of Lie algebras and continuous integrable couplings
- New factorization of the Kaup-Newell hierarchy
- Enlarging spectral problems to construct integrable couplings of soliton equations
- Infinitely many conservation laws for the Blaszak-Marciniak four-field integrable lattice hierarchy
- Binary nonlinearization of spectral problems of the perturbation AKNS systems.
- The conservation laws of some discrete soliton systems.
- Adjoint symmetry constraints of multicomponent AKNS equations.
- A multi-component matrix loop algebra and the multi-component Kaup-Newell (KN) hierarchy, as well as its integrable coupling system
- The Coupled Modified Korteweg-de Vries Equations
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- 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
- Symmetries and Integrability
- Nonlinear differential–difference equations and Fourier analysis
- Integrable semi-discretization of the coupled nonlinear Schrödinger equations
- The deduction of the Lax representation for constrained flows from the adjoint representation
- Integrable semi-discretization of the coupled modified KdV equations
- New Liouville integrable noncanonical Hamiltonian systems from the AKNS spectral problem
- A discrete variational identity on semi-direct sums of Lie algebras
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- 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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