Browse by author
Lookup NU author(s): Dr Allen Parker
Full text for this publication is not currently held within this repository. Alternative links are provided below where available.
In this first of two papers (designated I and II [Physica D 137 (2000) 34]), a direct procedure is given for bilinearising the Kaup-Kupershmidt and Sawada-Kotera equations. It is found that, whereas the Sawada-Kotera equation can be written in bilinear form in two distinct ways (which are shown to be equivalent), the Kaup-Kupershmidt equation has a single bilinear representation. This distinguishing feature, which has previously received no explanation, has consequences for obtaining the soliton solutions of these two closely related fifth-order integrable equations. The 'anomalous' solitary wave of the Kaup-Kupershmidt equation is reconstructed, and a simplified approach to obtaining its N-soliton solutions is proposed. This provides the basis for constructing these solutions explicitly in II. © 2000 Elsevier Science B.V. All rights reserved.
Author(s): Parker A
Publication type: Article
Publication status: Published
Journal: Physica D: Nonlinear Phenomena
Year: 2000
Volume: 137
Issue: 1-2
Pages: 25-33
ISSN (print): 0167-2789
ISSN (electronic): 1872-8022
Publisher: Elsevier BV
URL: http://dx.doi.org/10.1016/S0167-2789(99)00166-9
DOI: 10.1016/S0167-2789(99)00166-9
Altmetrics provided by Altmetric
