The N -soliton solution of a generalised Vakhnenko equation

DOI10.1017/S0017089501000076zbMath1045.35061MaRDI QIDQ2744540

A. J. Morrison, E. John Parkes

Publication date: 2001

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (14)

Periodic and solitary-wave solutions of the Degasperis-Procesi equation ⋮ New interaction solutions for a (2 + 1)-dimensional Vakhnenko equation ⋮ Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation ⋮ The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation ⋮ A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation ⋮ The \(N\)-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation). ⋮ Some periodic and solitary travelling-wave solutions of the short-pulse equation ⋮ Symbolic computation of exact solutions for a nonlinear evolution equation ⋮ On soliton structure of isospectral Vakhnenko equation: WKI-eigenvalue problem ⋮ The interaction processes of the \(N\)-soliton solutions for an extended generalization of Vakhnenko equation ⋮ Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation ⋮ Global classification of two-component approximately integrable evolution equations ⋮ Analytical and multishaped solitary wave solutions for extended reduced Ostrovsky equation ⋮ Integrability of the modified generalised Vakhnenko equation

This page was built for publication: The N -soliton solution of a generalised Vakhnenko equation