Document Type

Article

Publication Date

2-2020

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

Creative Commons License

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

Publication Title

Nuclear Physics B

DOI

10.1016/j.nuclphysb.2020.114956

Included in

Mathematics Commons

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