摘要
用行波变换和摄动理论研究一类(2+1)维扰动破裂孤子方程,先讨论其对应典型的破裂方程,并利用非线性方程待定常数投射方法得到了它的孤子精确解,再利用摄动方法得到了扰动破裂方程的孤子行波渐近解.
A class of（2＋1）-dimentions disturbed breaking soliton equation was studied via the travelling wave transformation and perturbation theory.Firstly,the corresponding typical breaking equation was considered,and its exact soliton solution was obtained by means of the undetermined constants projectile method.Then,the soliton travelling wave asymptotic solution of a disturbed breaking equation was found by aperturbation method.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2015年第5期841-845,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11371248)
浙江省自然科学研究项目(批准号:LY13A010005)
关键词
孤子
精确解
渐近解
soliton
exact solution
asymptotic solution
作者简介
欧阳成（1964-），女，汉族，硕士，教授，从事应用数学的研究，E—mail：oyc@hutc．zj.cn．
