长短波相互作用方程组的无穷序列新解  

NEW INFINITE SEQUENCE SOLUTIONS OF LONG-SHORT-WAVE INTERACTION EQUATIONS

作　　者：阿如娜[1] 套格图桑[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

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)~~

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Bcklund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.

关 键 词：第一种椭圆方程 无穷序列新解 Bcklund变换 

分 类 号：O175.25[理学—数学]