New traveling wave and soliton solutions of the sine-Gordon equation with a variable coefficient

Zhengping Yang, Wei Ping Zhong*, Wen Ye Zhong, Milivoj R. Belić

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We obtain new traveling wave and soliton solutions of the sine-Gordon (SG) equation with a variable coefficient (VC), with the help of the F-expansion technique and the homogeneous balance method. The solutions are expressed in terms of the Jacobi elliptic functions, which in the limiting cases degenerate into trigonometric and soliton forms. Our results demonstrate that traveling and solitary waves of the SG with a VC can be manipulated and controlled by changing the VC of the inhomogeneity of the system.

Original languageEnglish
Article number163247
JournalOptik
Volume198
DOIs
Publication statusPublished - Dec 2019
Externally publishedYes

Keywords

  • F-expansion technique
  • Solitary waves
  • sine-Gordon equation with a variable coefficient

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