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

作　　者：史娟荣[1,2] 陈贤峰[1] 莫嘉琪[3] 

机构地区：[1]上海交通大学数学系,上海200240 [2]安徽机电职业技术学院,安徽芜湖241002 [3]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《吉林大学学报（理学版）》2016年第2期234-240,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11371248);安徽省高校自然科学重点项目(批准号:KJ2015A418)

摘　　要：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.

关 键 词：孤子 渐近解 非线性系统 

分 类 号：O175.29[理学—数学]