Non-auto Darboux transformation for \(N\)-soliton solutions of the non-isospectral Korteweg-de Vries hierarchy

DOI10.1002/MMA.9986MaRDI QIDQ6560055

Da-Jun Zhang, Bin-he Lu, Xing-yu Liu

Publication date: 21 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

solutionKorteweg-de Vries equationMiura transformationDarboux transformationnon-isospectral hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Second-order parabolic equations (35K10)

Cites Work

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• Method for Solving the Korteweg-deVries Equation
• Symmetry Constraint of the Differential-difference KP Hierarchy and a Second Discretization of the ZS-AKNS System
• Backlund transformations for the isospectral and non-isospectral MKdV hierarchies

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