Camassa-Holm equation: transformation to deformed sinh-Gordon equations, cuspon and soliton solutions

Authors
Kraenkel, RA Zenchuk, A
Citation
Ra. Kraenkel et A. Zenchuk, Camassa-Holm equation: transformation to deformed sinh-Gordon equations, cuspon and soliton solutions, J PHYS A, 32(25), 1999, pp. 4733-4747
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
25
Year of publication
1999
Pages
4733 - 4747
Database
ISI
SICI code
0305-4470(19990625)32:25<4733:CETTDS>2.0.ZU;2-L
Abstract
In this paper a relation between the Camassa-Holm equation and the non-loca l deformations of the sinh-Gordon equation is used to study some properties of the former equation. We will show that cuspon and soliton solutions can be obtained from soliton solutions of the deformed sinh-Gordon equation.