Sharma-Tasso-Olver方程的新显式行波解  

New Explicit Traveling Wave Solutions for the Sharma-Tasso-Olver Equation

作　　者：王鑫[1] WANG Xin(College of information Science and Technology,Hainan University,Haikou 570228,China)

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《数学的实践与认识》2022年第7期202-207,共6页Mathematics in Practice and Theory

基　　金：海南省自然科学基金(118MS003,418QN205);国家自然科学基金(11601109)。

摘　　要：借鉴(G'/G)展开法的基本思路,构造了一类变系数G展开法,并借助Mathematica计算软件,对Sharma-Tasso-Olver方程进行了求解,获得了该方程新的显式行波解.事实证明,此类变系数G展开法对于求解非线性微分方程的精确解是行之有效的.According to the basic idea of the(G'/G)expansion method,we constructed a class of variable coefficient G expansion met hod.With the help of Mathematica computing software,the Sharma-Tasso-Olver equation is solved,and new explicit traveling wave solu-tions of the equation are obtained.It is proved that such variable coefficient G expansion method is effective for solving the exact solutions of nonlinear differential equations.

关 键 词：Sharma-Tasso-Olver方程 变系数G展开法 显式行波解 

分 类 号：O175[理学—数学]