Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

Authors
Zhang, WG Chang, QS Jiang, BG
Citation
Wg. Zhang et al., Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order, CHAOS SOL F, 13(2), 2002, pp. 311-319
Citations number
8
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
13
Issue
2
Year of publication
2002
Pages
311 - 319
Database
ISI
SICI code
0960-0779(200202)13:2<311:EESSFC>2.0.ZU;2-6
Abstract
In this paper, we consider compound KdV-type and KdV-Burgers-type equations with nonlinear terms of any order. The explicit exact solitary-wave soluti ons for the equations are obtained by means of proper transformation, which degrades the order of nonlinear terms, and an undetermined coefficient met hod. A solitary-wave solution with negative velocity for the generalized Kd V-Burgers equation u(t) + u(p)u(x) - alphau(xx) + u(xxx) = 0 is found. (C) 2001 Elsevier Science Ltd. All rights reserved.