A Class of New Special Solution of Nonlinear Diffusion Equation
A Class of New Special Solution of Nonlinear Diffusion Equation作者机构:College of Mathematics and Statistics Chongqing Technology and Business University
出 版 物:《Acta Mathematicae Applicatae Sinica》 (应用数学学报(英文版))
年 卷 期:2016年第32卷第2期
页 面:437-446页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
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)
主 题:Nonlinear diffusion equation explicit solution auxiliary function
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.