On UrKdV and UrKP

DOI10.1007/BF00739799zbMath0834.35112arXivsolv-int/9402004MaRDI QIDQ1899845

Jeremy Schiff, Didier A. Depireux

Publication date: 1 April 1996

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

Full work available at URL: https://arxiv.org/abs/solv-int/9402004

zbMATH Keywords

Bäcklund transformationsMiura mapinfinite-dimensional symmetryKonopelchenko's mapmap of Svinolupov

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (4)

Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart ⋮ Conformal properties and Bäcklund transform for the associated Camassa-Holm equation ⋮ KdV-type equations linked via Bäcklund transformations: remarks and perspectives ⋮ NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY

Cites Work

• Solitons and infinite dimensional Lie algebras
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• Solving the KP hierarchy by gauge transformations
• An \(r\)-matrix approach to nonstandard classes of integrable equations
• GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
• The Schwarzian Derivative and Disconjugacy of nth order Linear Differential Equations
• On the quasi-Hamiltonian formalism of the KdV equation

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