A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
type: Item
instance of: scholarly article
title: A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
zbMATH Open document ID: 1030.37047
DOI: 10.1016/S0960-0779(02)00483-6
author: A. J. Morrison
author: V. O. Vakhnenko
author: E. J. Parkes
published in: Chaos, Solitons and Fractals
publication date: 2003-12-14T00:00:00Z
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 2017054
MaRDI profile type: Publication
cites work: Q3217027
cites work: On Reciprocal Bäcklund Transformations of Inverse Scattering Schemes
cites work: On the Susceptibility of Local Elastic Buckling to Chaos
cites work: N-loop solitons and their link with the complex Harry Dym equation
cites work: New integrable nonlinear evolution equations
cites work: A new integrable nonlinear evolution equation.
cites work: Cusp soliton of a new integrable nonlinear evolution equation.
cites work: Soliton on thin vortex filament
cites work: Curve Lengthening Equation and Its Solutions
cites work: Loop Soliton Solutions of String Interacting with External Field
cites work: On affine Sawada-Kotera equation.
cites work: Solitons in a nonlinear model medium
cites work: High-frequency soliton-like waves in a relaxing medium
cites work: The two loop soliton solution of the Vakhnenko equation
cites work: Q4719521
cites work: The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
cites work: The \(N\)-soliton solution of a generalised Vakhnenko equation
cites work: The \(N\)-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).
cites work: \(N\)-soliton solutions of model equations for shallow water waves
cites work: A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
cites work: Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations
cites work: A Bäcklund transformation for a higher order Korteweg-de Vries equation
cites work: Relationships among inverse method, Bäcklund transformation and an infinite number of conservation laws.
cites work: On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
cites work: The inverse problem for a general \(n \times n\) spectral equation
description: scientific article; zbMATH DE number 2017054