Note on exact solutions for a class of nonlinear diffusion equations

被引：1
|
作者：
Layeni, O. P. [1 ]
机构：
[1] Obafemi Awolowo Univ, Dept Math, Ife 220005, Nigeria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 210卷 / 02期
关键词：
Nonlinear diffusion equation; Power law; Auxiliary equation method; Generalized Riccati equation expansion method; TRAVELING-WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; SOLITARY;
D O I：
10.1016/j.amc.2009.01.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An effective characterization is given for a class of generalized nonlinear diffusion equations with power law dependent terms. Further, a new auxiliary equation ansatz is derived. Consequently, new exact traveling wave trigonometric function, solitary-like and Weierstrass elliptic solutions to a subclass are obtained by means of an auxiliary equation method and a generalized Riccati equation expansion method. (c) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：465 / 472
页数：8
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