非线性Schrdinger耦合方程组的同宿轨

The Homoclinic Orbit for the Nonlinear Schrdinger Equations Coupling System

非线性Schrdinger方程作为非线性发展方程的典型代表之一,受到了国内外学者的长期关注.人们已经得到了它的各种精确解,如行波解、孤波解、扭波解、同宿轨解等.但是,对非线性Schrdinger耦合方程组的研究却很少,未见其同宿轨解的研究成果.利用Hirota双线性方法,研究了非线性Schrdinger耦合方程组的同宿轨,获得了同宿轨的解析式.

The nonlinear Schrodinger equation is one of the typical examples for the study of nonlinear equation and it has received the domestic and foreign scholar＇s long-term attention.All varieties of exact solutions for the nonlinear Schrdinger equation are obtained,such as travel wave solutions,solitary wave solutions,twisted wave solutions,homoclinic orbits.However,the study on the nonlinear Schrodinger equation coupling system is rare,no research results on homoclinic orbit solution are published.In this paper,using the Hirota＇s bilinear method,the homoclinic orbit for the nonlinear Schrdinger equations coupling system is investigated,the analytic expression for the homoclinic orbit is obtained.