Volume 35, Issue 4
Exact Solutions to the Bidirectional SK-Ramani Equation

Jia-hui Zou and Yun-hu Wang

10.13447/j.1674-5647.2019.04.01

Commun. Math. Res. , 35 (2019), pp. 289-300.

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  • 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. Key words: Hirota bilinear method; bidirectional Sawada-Kotera equation; extended homoclinic test approach; Riemann theta function.

  • History

Published online: 2019-12

  • AMS Subject Headings

37K40, 35Q51, 35C08

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