Exact Solutions to the Bidirectional SK-Ramani Equation  

作　　者：Zou Jia-hui Wang Yun-hu Gao Wen-jie 

机构地区：[1]College of Science,University of Shanghai for Science and Technology,Shanghai,200093 [2]College of Art and Sciences,Shanghai Maritime University,Shanghai,201306 [3]不详

出　　处：《Communications in Mathematical Research》2019年第4期289-300,共12页数学研究通讯（英文版）

基　　金：The NSF(11571008,51679132)of China

摘　　要：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 bilinear 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.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 bilinear 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.

关 键 词：HIROTA BILINEAR method BIDIRECTIONAL Sawada-Kotera EQUATION extended HOMOCLINIC test approach RIEMANN theta function 

分 类 号：O1[理学—数学]