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

Authors

Gangwei Wang
Kaitong Yang
Haicheng Gu, The University of Texas Rio Grande Valley
Fei Guan
A. H. Kara

Document Type

Article

Publication Date

4-2020

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 travelingwave 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.

Comments

Original published version available at https://doi.org/10.1016/j.nuclphysb.2020.114956

Recommended Citation

Wang, Gangwei, Kaitong Yang, Haicheng Gu, Fei Guan, and A. H. Kara. 2020. “A (2+1)-Dimensional Sine-Gordon and Sinh-Gordon Equations with Symmetries and Kink Wave Solutions.” Nuclear Physics B 953 (April): 114956. https://doi.org/10.1016/j.nuclphysb.2020.114956.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Nuclear Physics B

DOI

10.1016/j.nuclphysb.2020.114956