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A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions

Authors :
Gangwei Wang
Kaitong Yang
Haicheng Gu
Fei Guan
A.H. Kara
Source :
Nuclear Physics B, Vol 953, Iss , Pp - (2020)
Publication Year :
2020
Publisher :
Elsevier, 2020.

Abstract

In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1)-dimensional sine-Gordon equation are constructed. The traveling wave solutions of the (2+1)-dimensional sinh-Gordon equation can also be provided in a similar manner. Meanwhile, conservation laws are derived.

Details

Language :
English
ISSN :
05503213
Volume :
953
Issue :
-
Database :
Directory of Open Access Journals
Journal :
Nuclear Physics B
Publication Type :
Academic Journal
Accession number :
edsdoj.67a98f9aa457406c81c950df0d292fee
Document Type :
article
Full Text :
https://doi.org/10.1016/j.nuclphysb.2020.114956