Breather waves, analytical solutions and conservation laws using Lie-B?cklund symmetries to the (2+1)-dimensional Chaffee-Infante equation

被引:39
|
作者
Yusuf, Abdullahi [1 ,2 ]
Sulaiman, Tukur Abdulkadir [1 ,2 ]
Abdeljabbar, Alrazi [3 ]
Alquran, Marwan [4 ]
机构
[1] Biruni Univ Istanbul, Dept Comp Engn, Istanbul, Turkiye
[2] Fed Univ Dutse, Fac Sci, Jigawa, Nigeria
[3] Khalifa Univ Sci & Technol, Dept Math, Abu Dhabi, U Arab Emirates
[4] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid, Jordan
关键词
Extended tanh-coth method; Sine-cosine function method; Soliton solutions; Breather wave solutions; Conservation laws; LUMP SOLUTIONS; BOUSSINESQ EQUATIONS; SOLITON-SOLUTIONS; BACKLUND TRANSFORMATION; REGULARITY CRITERION; DYNAMICAL BEHAVIORS; TRAVELING-WAVE; NONLINEARITY; MODEL; EVOLUTION;
D O I
10.1016/j.joes.2021.12.008
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
The ( 2 + 1 )-dimensional Chaffee-Infante has a wide range of applications in science and engineering, including nonlinear fiber optics, electromagnetic field waves, signal processing through optical fibers, plasma physics, coastal engineering, fluid dynamics and is particularly useful for modeling ion-acoustic waves in plasma and sound waves. In this paper, this equation is investigated and analyzed using two effective schemes. The well-known tanh-coth and sine-cosine function schemes are employed to estab-lish analytical solutions for the equation under consideration. The breather wave solutions are derived using the Cole-Hopf transformation. In addition, by means of new conservation theorem, we construct conservation laws (CLs) for the governing equation by means of Lie-Backlund symmetries. The novel characteristics for the ( 2 + 1 )-dimensional Chaffee-Infante equation obtained in this work can be of great importance in nonlinear sciences and ocean engineering.(c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
引用
收藏
页码:145 / 151
页数:7
相关论文
共 50 条
  • [41] The time-fractional (2+1)-dimensional Hirota–Satsuma–Ito equations: Lie symmetries, power series solutions and conservation laws
    Zhu, Hui-Min
    Zhang, Zhi-Yong
    Zheng, Jia
    Communications in Nonlinear Science and Numerical Simulation, 2022, 115
  • [42] Solitons, rogue waves and breather solutions for the (2+1)-dimensional nonlinear Schrodinger equation with variable coefficients
    Hamed, A. A.
    Kader, A. H. Abdel
    Latif, M. S. Abdel
    OPTIK, 2020, 216
  • [43] Breather-type solutions and rogue waves to a generalised (2+1)-dimensional nonlinear Schrodinger equation
    Cheng, Li
    Zhang, Yi
    PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (01):
  • [44] Bilinear Bäcklund transformation, kink and breather-wave solutions for a generalized (2+1)-dimensional Hirota–Satsuma–Ito equation in fluid mechanics
    Xin Zhao
    Bo Tian
    Xia-Xia Du
    Cong-Cong Hu
    Shao-Hua Liu
    The European Physical Journal Plus, 136
  • [45] Lie Symmetry Analysis,Bcklund Transformations and Exact Solutions to (2+1)-Dimensional Burgers' Types of Equations
    刘汉泽
    李继彬
    刘磊
    Communications in Theoretical Physics, 2012, (05) : 737 - 742
  • [46] Optical solitary waves and conservation laws to the (2+1)-dimensional hyperbolic nonlinear Schrodinger equation
    Aliyu, Aliyu Isa
    Inc, Mustafa
    Yusuf, Abdullahi
    Baleanu, Dumitru
    MODERN PHYSICS LETTERS B, 2018, 32 (30):
  • [47] The time-fractional (2+1)-dimensional Hirota-Satsuma-Ito equations: Lie symmetries, power series solutions and conservation laws
    Zhu, Hui-Min
    Zhang, Zhi-Yong
    Zheng, Jia
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 115
  • [48] Lie Symmetry Analysis and Conservation Laws for the (2+1)-Dimensional Dispersionless B-Type Kadomtsev-Petviashvili Equation
    Zhao, Qiulan
    Wang, Huanjin
    Li, Xinyue
    Li, Chuanzhong
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (01) : 92 - 113
  • [49] On the lump solutions, breather waves, two-wave solutions of (2+1)-dimensional Pavlov equation and stability analysis
    Younas, Usman
    Ren, Jingli
    Sulaiman, T. A.
    Bilal, Muhammad
    Yusuf, A.
    MODERN PHYSICS LETTERS B, 2022, 36 (14):
  • [50] Lie symmetries, exact solution and conservation laws of (2+1)-dimensional time fractional Kadomtsev-Petviashvili system
    Yu, Jicheng
    Feng, Yuqiang
    ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2024,