摘要
给出了一种新的辅助函数法,构造了一种新的形式的解,并给出了该新的辅助函数的一些新形式的周期解等,从而得出了所要求的偏微分方程的同宿孤立波解和带有周期的孤立波解.作为例子,求解了(2+1)维广义Broer-Kaup方程.显然该新的辅助函数法也可以求解其他多种类型的非线性发展方程,可见该方法是一种容易理解,计算简便,结果丰富的求解非线性偏微分方程的方法,并且具有一定的物理意义.
A new auxiliary function method was given,and some exact solutions of the auxiliary function were given too. As an example,（2 ＋ 1）-dimensional generalized Broer-Kaup equation was solved. Obviously,the auxiliary function method can be applied to solve other type of nonlinear evolution equations as well.
作者
傅海明
戴正德
FU Hai-ming1＇2, DAI Zheng-de3(1. Department of Basic Courses, Guangzhou Hua Xia Technical College, Guangzhou 510935, China; 2. School of Mathematics, South China University of Technology, Guangzhou 510640, China ; 3. School of Mathematics and Statistics, Yunnan University, Kunming 650091, Chin)
出处
《哈尔滨商业大学学报（自然科学版）》
CAS
2017年第5期611-615,共5页
Journal of Harbin University of Commerce：Natural Sciences Edition
基金
国家自然科学基金资助项目(11361048)
