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

被引:34
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
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
收藏
页码:1500 / 1513
页数:14
相关论文
共 65 条
[1]  
Ablowitz MJ., 1981, SOLITONS INVERSE SCA
[2]   A Numerical Algorithm for the Solutions of ABC Singular Lane-Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method [J].
Abu Arqub, Omar ;
Osman, Mohamed S. ;
Abdel-Aty, Abdel-Haleem ;
Mohamed, Abdel-Baset A. ;
Momani, Shaher .
MATHEMATICS, 2020, 8 (06)
[3]  
Akbar MA, 2019, ADV DIFFER EQU-NY, V2019, DOI 10.1186/s13662-019-2377-9
[4]   New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method [J].
Ali, Khalid K. ;
Osman, M. S. ;
Abdel-Aty, Mahmoud .
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) :1191-1196
[5]   On short-range pulse propagation described by (2+1)-dimensional Schrodinger's hyperbolic equation in nonlinear optical fibers [J].
Ali, Khalid K. ;
Wazwaz, Abdul-Majid ;
Mehanna, M. S. ;
Osman, M. S. .
PHYSICA SCRIPTA, 2020, 95 (07)
[6]   On traveling wave solutions: The Wu-Zhang system describing dispersive long waves [J].
Awan, A. U. ;
Tahir, M. ;
Rehman, H. U. .
MODERN PHYSICS LETTERS B, 2019, 33 (06)
[7]  
Baleanu D., 2020, Appl. Math. Inf. Sci, V14, P365, DOI /10.18576/amis/140302
[8]   New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method [J].
Baskonus, Haci Mehmet ;
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir .
APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2019, 4 (01) :129-138
[9]  
Bulut H., 2015, MATH LETT, V1, P10