A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions

DOI10.1063/1.4960747zbMath1348.35225OpenAlexW2515878193MaRDI QIDQ2820927

Ling-Ling Xue, Deng-Shan Wang, Qing-Ping Liu

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4960747

zbMATH Keywords

Lax representationDarboux transformationrational solutionsoliton solutiongeneralized Hirota-Satsuma coupled KdV systemcoupled Kadomtsev-Petviashvili equationHirota-Satsuma KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (4)

Darboux transformation and novel solitons of a coupled system ⋮ Internal null controllability of the generalized Hirota-Satsuma system ⋮ Darboux transforms for the \(\hat{B}_n^{(1)}\)-hierarchy ⋮ On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system

Cites Work

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• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• GrammianN-soliton solutions of a coupled KdV system
• On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
• Hierarchies of Coupled Soliton Equations. I
• Darboux transforms, deep reductions and solitons
• Some new integrable nonlinear evolution equations and Darboux transformation

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