几类任意元耦合非线性发展方程组的精确孤波解

Solitary Wave Solutions to Some Systems ofCoupled Nonlinear Equations

给出了几类有深刻的物理和力学背景的任意元耦合的非线性发展方程组 ,这几类非线性发展方程组是由高阶KdV方程和调制KdV方程经任意元耦合的方程组 .结果表明这几类任意元耦合非线性发展方程组存在精确孤波解 ,给出了这几类任意元耦合非线性发展方程组的精确孤波解 .并对结果进行了讨论 .

Some classes of coupled nonlinear equations,which have crucial significance,are presented in this paper.These systems of arbitrariness variables coupled nonlinear wave equations are composed of the combined form of the higher modified KdV equation and the KdV equation.It is shown that these systems of coupled nonlinear equations possess solitary wave solutions.Several forms of solitary wave solutions from arbitrariness variables coupled nonlinear wave equations have been obtained.Some comments are made.