一类非线性数学物理方程的精确解  

Exact Solutions for a Class of Nonlinear Mathematical Physics Equations

作　　者：杨娟 冯庆江[1] 曾春花[1] YANG Juan, FENG Qing-jiang, ZENG Chun-hua(College of Sciences, Kaili University, Kaili 556011, Chin)

机构地区：[1]凯里学院理学院

出　　处：《数学的实践与认识》2018年第17期309-313,共5页Mathematics in Practice and Theory

基　　金：贵州省科技厅、黔东南州科技局、凯里学院科技联合资金项目(黔科合LH字[2017]7166号)

摘　　要：利用改进的辅助方程法,分别获得（1＋1）维Benjiamin Ono方程、Phi-4方程、（3＋1）维YTSF方程、foam drainage方程的精确解,进一步扩大了解的范围,丰富了解的结构.实践证明,利用这种辅助方程法对于研究非线性数学物理方程具有十分重要的作用.By using the improved auxiliary equation method, the exact solutions of the （1＋1）-dimensional Benjiamin Ono equation, Phi-4 equation, （3＋1）-dimensional YTSF equa- tion, and foam drainage equation are obtained, so the range of the solution is further ex- panded. The practice has proved that the use of this auxiliary equation method for the study of nonlinear mathematical physics equation has a very important role.

关 键 词：辅助方程法 非线性数学物理方程 精确解 

分 类 号：O175.24[理学—数学]