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
收藏
页码：1500 / 1513
页数：14
相关论文
共 50 条
  • [1] Optical soliton solutions to the (2+1)-dimensional Chaffee-Infante equation and the dimensionless form of the Zakharov equation
    Akbar, M. Ali
    Ali, Norhashidah Hj. Mohd.
    Hussain, Jobayer
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01):
  • [2] On the exact soliton solutions and different wave structures to the (2+1) dimensional Chaffee-Infante equation
    Zhu, Chaoyang
    Al-Dossari, Mawaheb
    Rezapour, S.
    Gunay, B.
    RESULTS IN PHYSICS, 2024, 57
  • [3] Exact solutions to -dimensional Chaffee-Infante equation
    Mao, Yuanyuan
    PRAMANA-JOURNAL OF PHYSICS, 2018, 91 (01):
  • [4] Traveling Wave Solutions and Conservation Laws of a Generalized Chaffee-Infante Equation in (1+3) Dimensions
    Sebogodi, Motshidisi Charity
    Muatjetjeja, Ben
    Adem, Abdullahi Rashid
    UNIVERSE, 2023, 9 (05)
  • [5] Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation
    Arshed, Saima
    Akram, Ghazala
    Sadaf, Maasoomah
    Qurrat-ul-ain
    Riaz, Muhammad Bilal
    Wojciechowski, Adam
    PLOS ONE, 2023, 18 (01):
  • [6] Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation
    Iqbal, Naveed
    Riaz, Muhammad Bilal
    Alesemi, Meshari
    Hassan, Taher S.
    Mahnashi, Ali M.
    Shafee, Ahmad
    AIMS MATHEMATICS, 2024, 9 (06): : 16666 - 16686
  • [7] Extraction of exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation using two exact integration techniques
    Arshed, Saima
    Akram, Ghazala
    Sadaf, Maasoomah
    Irfan, Muhammad
    Inc, Mustafa
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (06)
  • [8] Application of IBSEF Method to Chaffee-Infante Equation in (1+1) and (2+1) Dimensions
    Demirbilek, U.
    Mamedov, Kh. R.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (08) : 1444 - 1451
  • [9] QUALITATIVE ANALYSIS AND TRAVELLING WAVE SOLUTIONS FOR THE CHAFFEE-INFANTE EQUATION
    Liu Qiang
    Zhu Yun
    Wang Yuanzheng
    REPORTS ON MATHEMATICAL PHYSICS, 2013, 71 (02) : 177 - 193
  • [10] Solitary wave solution of (2+1)-dimensional Chaffee-Infante equation using the modified Khater method
    Mahmood, Ayesha
    Abbas, Muhammad
    Akram, Ghazala
    Sadaf, Maasoomah
    Riaz, Muhammad Bilal
    Abdeljawad, Thabet
    RESULTS IN PHYSICS, 2023, 48
12345