Nonlinear superposition formula for the Kaup-Kuperschmidt partial differential equation

DOI10.1016/S0167-2789(00)00081-6zbMath0961.35145OpenAlexW2069988078WikidataQ115339610 ScholiaQ115339610MaRDI QIDQ1586883

Caroline Verhoeven, Micheline Musette

Publication date: 28 May 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00081-6

zbMATH Keywords

Bäcklund transformationKaup-Kupershmidt equation\(N\)-soliton solutionAppell type equationpermutability theorem

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 (15)

On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method ⋮ Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy ⋮ Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies ⋮ Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications ⋮ Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation ⋮ Bäcklund transformations for the Degasperis-Procesi equation ⋮ EXPLICIT SOLUTIONS TO THE KAUP–KUPERSHMIDT EQUATION VIA NONLOCAL SYMMETRIES ⋮ Darboux transformations for the \(\hat{A}_{2n}^{(2)}\)-KdV hierarchy ⋮ Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics ⋮ On computer-assisted classification of coupled integrable equations ⋮ Sine-cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation ⋮ Numerical solution of nonlinear fifth-order KdV-type partial differential equations via Haar wavelet ⋮ NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY ⋮ A new perspective for analytical and numerical soliton solutions of the Kaup-Kupershmidt and Ito equations ⋮ Nonlocal symmetries and the Kaup–Kupershmidt equation

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