摘要
本文对长短波相互作用方程组作行波变换后转化成第一种椭圆方程,利用第一种椭圆方程的解和Bcklund变换,构造了长短波相互作用方程组的无穷序列新解.这里包括了椭圆函数解、双曲函数解、指数函数解和有理函数解.
The paper firstly obtained the first kind of elliptic equation for the long-short-wave interaction equations through travelling wave transformation. Based on the solutions and Backlund transformation of the first kind of elliptic equation, the new infinite sequence solutions of the long-short-wave interaction equations were con- strutted, including the Jacobi elliptic function, hyperbolic function, exponential function and rational function.
出处
《动力学与控制学报》
2016年第3期193-196,共4页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11361040)
内蒙古自治区高等学校科学研究基金(NJZY16180)
内蒙古自治区自然科学基金资助(2015MS0128)~~
关键词
第一种椭圆方程
无穷序列新解
Bcklund变换
the first kind of elliptic equation, new infinite sequence solutions, Backlund transformation
