A linear algebraic nonlinear superposition formula

DOI10.1016/S0375-9601(02)00189-5zbMath1052.37052OpenAlexW2115309460MaRDI QIDQ5961202

Pilar Ruiz Gordoa, Juan M. Conde

Publication date: 24 April 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)00189-5

zbMATH Keywords

Darboux transformationBäcklund transformationexact integrable system solution

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)

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Lump-soliton solutions to the Fokas system ⋮ Darboux transformations for the supersymmetric two-boson hierarchy ⋮ Direct reductions of a nonlinear partial differential system ⋮ Coupling Bäcklund transformation of Riccati equation and division theorem method for traveling wave solutions of some class of NLPDEs ⋮ On Bäcklund transformation for supersymmetric two-boson equation

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