对称正则长波方程的精确行波解  

The Exact Traveling Wave Solutions of Symmetric Regular Long Wave Equations

作　　者：黄雪 刘小华 朱引 曾职云 HUANG Xue;LIU Xiaohua;ZHU Yin;ZENG Zhiyun(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《新乡学院学报》2023年第6期8-14,19,共8页Journal of Xinxiang University

摘　　要：利用(G'/G,1/G)展开法导出了对称正则长波方程的双曲函数解、有理函数解和三角函数解,给出了解在具体参数值下的2D和3D效果图以及解的性态,验证了所求的解均满足方程。The hyperbolic function solutions,rational function solutions and trigonometric function solutions of the symmetric regularized long wave equation are given by using the double (G'/G,1/G) expansion method.At the same time,the 2D and 3D effects and their behavior under specific parameter values are given,and all solutions are verified to satisfy the equation.

关 键 词：对称正则长波方程 双曲函数解 三角函数解 有理函数解 (G'/G 1/G)展开法 

分 类 号：O175.29[理学—数学]