Solitary Wave Solutions to the KPP Equation by the Homotopy Analysis Method

被引：0
|
作者：
Lu, Dian-chen [1 ]
Jiang, Yue [1 ]
Cheng, Yue-ling [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
INTERNATIONAL CONFERENCE ON SIMULATION, MODELLING AND MATHEMATICAL STATISTICS (SMMS 2015) | 2015年
关键词：
Homotopy analysis method; KPP equation; Solitary wave solutions; KDV EQUATION; SOLVE;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An analytic technique, named the homotopy analysis method (HAM), is effectively presented for obtaining solitary wave solutions governed by the KPP (Kolmogorov-Petrovskii-Piskunov) equation. The method used here contains an auxiliary parameter h, which is used to adjust the convergence speed and convergence range of the series solution. According to the residual error analysis, we find that it nearly tends to zero. This result shows that the HAM is a valid and accurate method for solving the nonlinear equations.
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页码：433 / 438
页数：6
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