New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method

被引：87

作者：

Rezazadeh, Hadi ^{[1
]}

Korkmaz, Alper ^{[2
]}

Khater, Mostafa M. A. ^{[3
]}

Eslami, Mostafa ^{[4
]}

Lu, Dianchen ^{[3
]}

Attia, Raghda A. M. ^{[3
,5
]}

机构：

[1] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[2] Cankiri Karatekin Univ, Dept Math, Cankiri, Turkey

[3] Jiangsu Univ, Fac Sci, Dept Math, Zhenjiang, Jiangsu, Peoples R China

[4] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[5] Higher Technol Inst 10th Ramadan City, Dept Basic Sci, El Sharqia 44634, Egypt

来源：

MODERN PHYSICS LETTERS B | 2019年 / 33卷 / 28期

关键词：

Biological population model; extended rational sinh-cosh method; modified Khater method (modified auxiliary equation method); traveling wave solution; ZAKHAROV-KUZNETSOV; EQUATION;

D O I：

10.1142/S021798491950338X

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, the extended rational sinh-cosh method (ERSCM) and modified Khater method are applied to the biological population model to derive new exact solutions. Moreover, the stability property of some obtained solutions is discussed to show the ability of them for using in the model's applications. Implementation of the direct algebraic methods, the equations derived by substitution of the predicted solution are solved. It is significant to point out that new traveling wave solutions are found. The present methods are easy to employ and sufficient to determine the solutions.

引用

页数：13

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