The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation

Authors
Yang, L Zhang, FJ Wang, YH
Citation
L. Yang et al., The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation, CHAOS SOL F, 13(2), 2002, pp. 337-340
Citations number
19
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
13
Issue
2
Year of publication
2002
Pages
337 - 340
Database
ISI
SICI code
0960-0779(200202)13:2<337:THBMLP>2.0.ZU;2-Y
Abstract
In this paper, some notes of the homogeneous balance (HB) method are discus sed by a kind of general fifth-order KdV (fYdV) equation. First, the auto-B acklund transformation and Lax represents of the higher-order KdV equation (a specific form of fKdV equation) are obtained by the HB method. Then, the connection of the Hirota transformation and the HB method is discussed by two specific fKdV equations: the Sawada-Kotera equation and the Lax's equat ion. At the same time, the solitary wave solution of the general fKdV equat ion is obtained. (C) 2001 Elsevier Science Ltd. All rights reserved.