Exact Solutions to the Bidirectional SK-Ramani Equation

Authors

  • Jiahui Zou College of Science, University of Shanghai for Science and Technology, Shanghai, 200093
  • Yunhu Wang College of Art and Sciences, Shanghai Maritime University, Shanghai, 201306

DOI:

https://doi.org/10.13447/j.1674-5647.2019.04.01%20

Keywords:

Hirota bilinear method, bidirectional Sawada-Kotera equation, extended homoclinic test approach, Riemann theta function.

Abstract

In this paper, the bidirectional SK-Ramani equation is investigated by means of the extended homoclinic test approach and Riemann theta function method, respectively. Based on the Hirota bilinea method, exact solutions including one-soliton wave solution are obtained by using the extended homoclinic approach and one-periodic wave solution is constructed by using the Riemann theta function method. A limiting procedure is presented to analyze in detail the relations between the one periodic wave solution and one-soliton solution.

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Published

2019-12-16

Issue

Vol. 35 No. 4 (2019)

Section

Articles