A Class of New Special Solution of Nonlinear Diffusion Equation  

作　　者：Yan TANG 

机构地区：[1]College of Mathematics and Statistics, Chongqing Technology and Business University

出　　处：《Acta Mathematicae Applicatae Sinica》2016年第2期437-446,共10页应用数学学报（英文版）

基　　金：Supported by the Natural Science Foundation Project of Chongqing(CSTC,2014jcyj A00026);Science and Technology Research Project of Chongqing Municipal Education Commission(KJ1400614)

摘　　要：One of the most interesting problems of nonlinear differential equations is the construction of partial solutions. A new method is presented in this paper to seek special solutions of nonlinear diffusion equations. This method is based on seeking suitable function to satisfy Bernolli equation. Many new special solutions are obtained.One of the most interesting problems of nonlinear differential equations is the construction of partial solutions. A new method is presented in this paper to seek special solutions of nonlinear diffusion equations. This method is based on seeking suitable function to satisfy Bernolli equation. Many new special solutions are obtained.

关 键 词：Nonlinear diffusion equation explicit solution auxiliary function 

分 类 号：O175.29[理学—数学]