function-transformation method;
solitary wave solution;
direct integral method;
nonlinear wave equation;
D O I:
10.7498/aps.53.11
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
A new function-transformation method is proposed and four kinds of explicit exact solitary wave solutions of the Lienard equation, the generalized PC equation, the important nonlinear wave equation in mechanics, which have a fifth-order stronger nonlinear term, are obtained by a combination of the function-transformation method and the direct integral method. The method proposed in this paper can also be applied to other nonlinear equations with higher-order nonlinear terms.