\(N\)-soliton solution of a lattice equation related to the discrete MKdV equation
type: Item
instance of: scholarly article
title: \(N\)-soliton solution of a lattice equation related to the discrete MKdV equation
zbMATH Open document ID: 1226.37050
author: Kazuaki Narita
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-06-20T00:00:00Z
review text: In the previous article [``Solutions for a system of difference-differential equations related to the self-dual network equation'', Prog. Theor. Phys. 106, No. 6, 1079--1096 (2001; Zbl 1017.37036)], the author proposed a system of lattice equations related to the self-dual network equation and presented its solutions. Here, for the modification of this system in the form \[ \dot v_n=4(v_{n-1}+v_{n+1})v^2_n/(1+v_{n-1}v_n)(1+v_n v_{n+1}) \] related to the discrete MKdV equation, with an arbitrary boundary value at infinity, an \(N\)-soliton solution is obtained.
Mathematics Subject Classification ID: 37L60
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 5909876
zbMATH Keywords: discrete MKdV equation
zbMATH Keywords: \(N\)-soliton solution
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.02.061
OpenAlex ID: W1976798769
cites work: Solutions for a System of Difference-Differential Equations Related to the Self-Dual Network Equation
DOI: 10.1016/J.JMAA.2011.02.061
description: scientific article; zbMATH DE number 5909876