Sawada-Kotera方程的精确行波解  

The exact traveling wave solution of Sawada-Kotera equation

作　　者：杨春飞 刘小华 YANG Chunfei;LIU Xiaohua(College 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,贵阳550025

出　　处：《延边大学学报（自然科学版）》2024年第1期81-86,共6页Journal of Yanbian University（Natural Science Edition）

基　　金：贵州省教育厅自然科学研究项目(黔教技[2023]012号)。

摘　　要：利用tanh展开法和sn展开法研究了Sawada-Kotera方程的精确行波解,得到了该方程的双曲正切型多项式孤立波解和双曲正割型孤立子解以及Jacobi椭圆正(余)弦函数解的精确表达式,利用Maple软件绘制了所得解在具体参数值下的3D图和2D图,并通过分析解的性态得出了相应解的类型。The exact traveling wave solution of Sawada-Kotera equation is discussed by using tanh expansion method and sn expansion method,and the exact expressions of the hyperbolic tangential polynomial solitons,hyperbolic secant solitons and Jacobi elliptic positive(complementary)string function solutions are established.The 3D and 2D graphs of the obtained solutions under specific parameter values are drawn by Maple software,and the types of corresponding solution are created ed by analyzing the behavior of the solution.

关 键 词：SAWADA-KOTERA方程 tanh展开法 sn展开法 行波解 

分 类 号：O175.2[理学—数学]