利用改进的(G’/G)展开法求(2+1)维Calogero Bogoyavlanskii Schiff方程的新行波解  

Some New Traveling Solutions of (2+1)-Dimensional Calogero Bogoyavlanskii Schiff Equation by Using the Improved(G’/G)-Expansion Method

作　　者：金云娟[1] 傅威超 JIN Yun-juan;FU Wei-chao(Department of mathematics, Lishui University, Lishui 323000, Chin)

机构地区：[1]丽水学院数学系

出　　处：《数学的实践与认识》2018年第10期177-184,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11771194)

摘　　要：利用（G’／G）展开法得到（2＋1）一维Calogero Bogoyavlanskii Schiff方程含自由参数的新精确行波解，所得到的解可用指数和三角函数表示，而当参数取特殊值时，解会变成特殊函数形式，不仅得到和已有结果一致的解，还得到一些新解．We construct new exact traveling wave solutions involving free parameters of the （2＋1）-dimensional Calogero Bogoyavlanskii Schiff equation by using the improved （G＇/G）- expansion method. The obtained solutions are presented by the exponential and the trigonometric functions. The solutions become in special functional form when the parameters take particular values. It is important to reveal that some of our solutions are in good agreement with the existing results and some are new solutions.

关 键 词：三角函数解 改进的(G’/G)展开法 CALOGERO Bogoyavlanskii Schiff方程 

分 类 号：O175[理学—数学]