TY - JOUR T1 - Exact Solutions to the Bidirectional SK-Ramani Equation AU - Zou , Jiahui AU - Wang , Yunhu JO - Communications in Mathematical Research VL - 4 SP - 289 EP - 300 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.04.01 UR - https://global-sci.org/intro/article_detail/cmr/13534.html KW - Hirota bilinear method, bidirectional Sawada-Kotera equation, extended homoclinic test approach, Riemann theta function. AB -

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.