Exact Solutions to the Bidirectional SK-Ramani Equation

Exact Solutions to the Bidirectional SK-Ramani Equation

Year:    2019

Author:    Jiahui Zou, Yunhu Wang

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 289–300

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.04.01

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 289–300

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

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

Author Details

Jiahui Zou

Yunhu Wang