摘要
应用(g′/g2)展开法构造出耦合非线性Klein-Gordon方程的精确解,得到了双曲函数通解、三角函数通解和有理函数通解三种通解.当双曲函数通解中的参数取特殊值时,得到了孤立波解.三角函数通解中引入一个参量后,可得到对应通解的周期波函数解.
Using the （g,/g^2）-expansion method, exact solutions for coupled nonlinear Klein -Gordon equationarc constructed. As the result, the hyperbolic tunction solutions, trigonometric function solutions, and rational so-lutions with arbitrary parameters to the equation are obtained. When the arbitrary parameters in hyperbolic functionsolutions are taken as some special values, the solitary wave solutions can be obtained. By introducing a parameter,the trigonometric function solutions can be expressed as periodic wave solutions.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2012年第2期63-66,共4页
Journal of South China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(10874049)
国家基础研究重点项目(2007CB925204)
