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GrammianN-soliton solutions of a coupled KdV system

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Publication:2773114
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DOI10.1088/0305-4470/34/49/106zbMath0987.35145OpenAlexW1970677673MaRDI QIDQ2773114

Micheline Musette, Caroline Verhoeven

Publication date: 23 June 2002

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

Full work available at URL: https://doi.org/10.1088/0305-4470/34/49/106


zbMATH Keywords

Darboux transformationLax pair\(N\)-soliton solution


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)


Related Items

Solving bi-directional soliton equations in the KP hierarchy by gauge transformation ⋮ Hetero-Bäcklund transformation, bilinear forms and \(N\) solitons for a generalized three-coupled Korteweg-de Vries system ⋮ Darboux transforms for the \(\hat{B}_n^{(1)}\)-hierarchy ⋮ A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions ⋮ On the Darboux transformations of the Drinfeld-Sokolov-Satsuma-Hirota coupled KdV system ⋮ A new integrable generalization of the Korteweg–de Vries equation ⋮ Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems



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