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
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