广义sinh-Gordon方程的新相互作用解  

New interaction solutions of the generalized sinh-Gordon equation

作　　者：赵云梅[1] 

机构地区：[1]红河学院数学学院,云南蒙自661199

出　　处：《西北师范大学学报（自然科学版）》2016年第3期18-21,29,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11161020;11361023);云南省科技厅科研资助项目(2011FZ193;2013FZ117);红河学院校级科研项目(XJ15SX07)

摘　　要：利用两个Jacobi椭圆方程作为辅助方程,借助数学软件Maple,获得了广义sinh-Gordon方程的新相互作用解,这些解由反双曲正弦函数、Jacobi椭圆函数、双曲函数和三角函数组成.Using two Jacobi elliptic equations as auxiliary equations , the generalized sinh‐Gordon equation is studied in this paper . With the aid of mathematical software Maple , many new interaction exact solutions of the generalized sinh‐Gordon equation are obtained . These solutions involve combinations of the arcsinh function , Jacobi elliptic functions , hyperbolic functions and trigonometric functions .

关 键 词：广义sinh-Gordon方程 辅助方程 相互作用解 JACOBI椭圆函数 

分 类 号：O175.2[理学—数学]