摘要
应用改进的G/G'展开法构造出Zhiber-Shabat(ZS)方程的20组精确解,这些解的类型主要包含双曲函数通解、三角函数通解和有理函数通解三种形式。对解的性质进行了相应分析,当对双曲函数通解中的参数取特殊值时,可以得到孤立波解。当对三角函数通解中的参数取特殊值时,可以得到对应的周期波函数解。实践证明,应用改进的G/G'展开法能够得到方程一些新的精确解,扩大了解的范围。
Using the were constructed extended G/G′ expansion method, the twenty group of exact solutions for ZS equation As a result the hyperbolic function solutions, trigonometric function solutions, and rational solutions with arbitrary parameters to the equation were obtained. When the arbitrary parameters in hyperbolic function solutions are taken as some special values, the solitary wave solutions can be obtained by analyzing the properties of solutions. When the arbitrary parameters in trigonometric function solutions are taken as some special values, the trigonometric function solutions can be expressed as periodic wave solutions. Some new exact solutions can be obtained by applications of improved G/G′ expansion method with larger scope of the solutions.
出处
《量子电子学报》
CAS
CSCD
北大核心
2013年第6期684-689,共6页
Chinese Journal of Quantum Electronics
基金
2012年贵州省高等学校省级教学团队项目(2012426)
关键词
非线性方程
改进的G
G′
展开法
ZS方程
孤立波解
周期波解
nonlinear equation
extended G／G′ expansion method
ZS equation
solitary wave solutions
periodic solution
