Darboux transformation for the nonisospectral AKNS system
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Publication:936972
DOI10.1016/j.physleta.2005.07.046zbMath1345.35095OpenAlexW1967814126MaRDI QIDQ936972
Publication date: 20 August 2008
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2005.07.046
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) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (5)
Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation ⋮ Deformed soliton, breather and rogue wave solutions of an inhomogeneous nonlinear Hirota equation ⋮ Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization ⋮ Darboux transformation for the non-isospectral AKNS hierarchy and its asymptotic property ⋮ Soliton solutions by Darboux transformation for a Hamiltonian lattice system
Cites Work
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- Algebraic representation of the linear problem as a method to construct the Darboux-Bäcklund transformation.
- On the Darboux matrices of Bäcklund transformations for AKNS systems
- On the interaction of solitons for a class of integrable systems in the spacetime \(\mathbb{R}^{n+1}\)
- Letters in Mathematical Physics cumulative index, Volumes 30-32 (1994)
- Bäcklund transformations for the isospectral and nonisospectral AKNS hierarchies
- Non-isospectral variable-coefficient higher-order Korteweg-de Vries equations
- Symmetries, conservation laws and Hamiltonian structures of the non-isospectral and variable coefficient KdV and MKdV equations
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