Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized $ \left(N+1\right) $-dimensional nonlinear Boussinesq equation-Reference-Cited by-同舟云学术

Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized $ \left(N+1\right) $-dimensional nonlinear Boussinesq equation

Published:2022 Issue:7 Volume:7 Page:13139-13168
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hussain Amjad¹,Zia Muhammad Khubaib¹,Nisar Kottakkaran Sooppy²,Vijayakumar Velusamy³,Khan Ilyas⁴

Affiliation:

1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan

2. Department of Mathematics, College of arts and sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore -632 014, Vellore, Tamilnadu, India

4. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Abstract

<abstract><p>In this article, the generalized $ \left(N+1\right) $-dimensional nonlinear Boussinesq equation is analyzed via Lie symmetry method. Lie point symmetries of the considered equation and accompanying invariant groups are computed. After transforming the equation into a nonlinear ordinary differential equation (ODE), analytical solutions of various types are obtained using the $ \left(G^\prime/G, 1/G\right) $ expansion method. The concept of nonlinear self-adjointness is used in order to determine nonlocal conservation laws of the equation in lower dimensions. By selecting the appropriate parameter values, the study provides a graph of the solutions to the equation under study.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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