Darboux transformations for the \(\hat{A}_{2n}^{(2)}\)-KdV hierarchy

DOI10.1007/S12220-022-01158-WOpenAlexW4319004820MaRDI QIDQ2688199

Zhiwei Wu, Chun-Lian Terng

Publication date: 2 March 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01158-w

zbMATH Keywords

Darboux transformationBäcklund transformationsoliton solutionKdV-type hierarchyisotropic curve flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)

Related Items (1)

Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow

Cites Work

• Unnamed Item
• The \(n \times n\) KdV hierarchy
• On the Bäcklund transformation for the Gel'fand-Dickey equations
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Nonlinear superposition formula for the Kaup-Kuperschmidt partial differential equation
• On soliton solutions of the Kaup-Kupershmidt equation. II: `Anomalous' \(N\)-soliton solutions
• Isotropic curve flows
• Bäcklund transformations and loop group actions
• Bäcklund transformations for Gelfand–Dickey Flows, revisited
• Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation

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