Exact traveling waves for a generalized Fisher's equation

被引：2

作者：

Alzaleq, Lewa' ^{[1
]}

Alzaalig, Ala ^{[2
]}

Manoranjan, Valipuram ^{[1
]}

机构：

[1] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA

[2] Higher Coll Technol, Fac Engn Technol & Sci ETS, Abu Dhabi 41012, U Arab Emirates

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 05期

关键词：

Fisher's equation; Nonlinear evolution; Traveling wave solutions; G '/G]-expression method; NUMERICAL TREATMENT;

D O I：

10.1080/09720502.2021.1932324

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized Fisher's equation that has nonlinearity not only in the reaction and diffusion terms, but also in the evolution term is studied. We obtain exact traveling wave solutions for this generalized Fisher's equation. The -expansion method is employed to obtain the solutions. Four exhaustive cases, depending on the parameters, are considered and studied. In each case, exact kink (anti-kink) waves are found.

引用

页码：1201 / 1220

页数：20

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