一类非线性发展方程扰动系统的渐近孤子解

Asymptotic Solitary Solution of Disturbed System for a Class of Nonlinear Developed Equation

采用特殊的待定函数和泛函映射方法,研究一类非线性发展方程扰动系统.首先引进一个行波变换,将发展方程转化为一个非线性微分方程,并利用一组待定函数,得到了相应非扰动系统的孤子解;然后利用泛函分析迭代关系式得到了原非线性发展方程扰动系统孤子的渐近行波解.

A class of disturbed system of nonlinear developed equation was studied via a specific undetermined functions and functional mapping methods. Firstly,using a travelling wave transform,we converted the developed equation into nonlinear differential equation,and obtained the solitary solution of a corresponding non-disturbed differential system via a set of undetermined functions. And then,the asymptotic solitary travelling wave solution for an original disturbed system of nonlinear developed equation was obtained by using the functional mapping iterative relational expressions.