New Darboux transformation for Hirota--Satsuma coupled KdV system
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Publication:1416251
DOI10.1016/S0960-0779(02)00309-0zbMath1030.37050arXivnlin/0204018OpenAlexW3106435504MaRDI QIDQ1416251
Publication date: 14 December 2003
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0204018
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
- Unnamed Item
- Darboux transformations for discrete systems
- New forms of the Darboux transformation for KdV and KP equations
- The sine-Gordon equations: Complete and partial integrability
- Modified equations, rational solutions, and the Painlevé property for the Kadomtsev–Petviashvili and Hirota–Satsuma equations
- Darboux transforms, deep reductions and solitons
- The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
- Unified approach to Miura, Bäcklund and Darboux Transformations for Nonlinear Partial Differential Equations