A BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA OF A MODIFIED KORTEWEG-DE VRIES-TYPE BILINEAR EQUATION

Authors
HU XB
Citation
Xb. Hu, A BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA OF A MODIFIED KORTEWEG-DE VRIES-TYPE BILINEAR EQUATION, Journal of mathematical physics, 35(9), 1994, pp. 4739-4745
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
9
Year of publication
1994
Pages
4739 - 4745
Database
ISI
SICI code
0022-2488(1994)35:9<4739:ABTANS>2.0.ZU;2-8
Abstract
A modified Korteweg-de Vries (mKdV)-type bilinear equation that has be en shown to pass the three-soliton solution and the Painleve tests [se e, J. Math. Phys. 2094, 28 (1987); 2572, 31 (1990)] is considered here in. In this article, a Backlund transformation and a nonlinear superpo sition formula are proven rigorously. As an application of the obtaine d results, N-soliton solutions are obtained. Therefore, the integrabil ity of this mKdV-type bilinear equation is confirmed.