On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system

DOI10.1016/S0034-4877(22)00050-7zbMath1498.35485OpenAlexW4293691660MaRDI QIDQ2079781

Xiao-Xing Niu, Ya-Nan Wang, Qing-Ping Liu

Publication date: 30 September 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(22)00050-7

zbMATH Keywords

exact solutionsDarboux transformationcoupled Korteweg-de Vries system

Mathematics Subject Classification ID

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)

Cites Work

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• Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions
• Integrable KdV systems: Recursion operators of degree four
• Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems
• Classification of certain integrable coupled potential KdV and modified KdV-type equations
• Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
• GrammianN-soliton solutions of a coupled KdV system
• A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions
• On construction of recursion operators from Lax representation

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