BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA OF AN EXTENDED LOTKA-VOLTERRA EQUATION

Authors
HU XB BULLOUGH RK
Citation
Xb. Hu et Rk. Bullough, BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA OF AN EXTENDED LOTKA-VOLTERRA EQUATION, Journal of physics. A, mathematical and general, 30(10), 1997, pp. 3635-3641
Citations number
11
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
10
Year of publication
1997
Pages
3635 - 3641
Database
ISI
SICI code
0305-4470(1997)30:10<3635:BTANSF>2.0.ZU;2-P
Abstract
An extended Lotka-Volterra equation is considered, and a Backlund tran sformation and a nonlinear superposition formula given for it. Multipl e soliton solutions are derived step by step as an application of the obtained results. Thus the N-soliton conjecture by Narita is confirmed .