An irrational trial equation method and its applications

Pramana

Xing-Hua Du1¹ 

[1] Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China$$

关键词: Trial equation method;    exact solution;    Burgers–KdV equation;    dissipative double sine-Gordon equation;    Fujimoto–Watanabe equation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

An irrational trial equation method was proposed to solve nonlinear differential equations. By this method, a number of exact travelling wave solutions to the Burgers–KdV equation and the dissipative double sine-Gordon equation were obtained. A more general irrational trial equation method was discussed, and many exact solutions to the Fujimoto–Watanabe equation were given.

【 授权许可】

Unknown