Exact traveling wave solutions of Chaffee-Infante equation in (2+1)-dimensions and dimensionless Zakharov equation

被引：33

作者：

Tahir, Muhammad ^{[1
]}

Kumar, Sunil ^{[2
]}

Rehman, Hamood ^{[3
]}

Ramzan, Muhammad ^{[3
]}

Hasan, Ahmad ^{[3
]}

Osman, Mohamed S. ^{[4
,5
]}

机构：

[1] Dept Math, Lahore 54590, Pakistan

[2] Natl Inst Technol, Dept Math, Jamshedpur 831014, Jharkhand, India

[3] Univ Okara, Dept Math, Okara 56300, Pakistan

[4] Cairo Univ, Dept Math, Fac Sci, Giza 12613, Egypt

[5] Umm Al Qura Univ, Fac Sci Appl, Dept Math, Mecca 21955, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 02期

关键词：

Chaffee-Infante equation; dimensionless Zakharov equation; generalized Kudryashov method; traveling wave solutions; EVOLUTION EQUATION; SOLITON-SOLUTIONS; MODEL; DARK;

D O I：

10.1002/mma.6847

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the generalized Kudryashov method is used to obtain the exact traveling wave solutions for two important nonlinear evolution equations, the Chaffee-Infante equation in (2 + 1)-dimensions and the dimensionless Zakharov equation. The generalized Kudryashov method is successfully used for getting exact solutions of these nonlinear equations in the form of exponential function solutions and hyperbolic function solutions. Moreover, we have discussed the dynamical behaviors through graphical representation of the solutions obtained in this way.

引用

页码：1500 / 1513

页数：14

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