@article{Hussain2022, 
author = {Amjad Hussain and Muhammad Khubaib Zia and Kottakkaran Sooppy Nisar and Velusamy Vijayakumar and Ilyas Khan},
title = {Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized        (          N      +      1        )  -dimensional nonlinear Boussinesq equation},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {13139-13168},
keywords = {generalized Boussinesq equation, Lie symmetry analysis, nonlinear self-adjointness, (G′/G, 1/G) expansion method, conservation laws},
url = {https://www.sciopen.com/article/10.3934/math.2022725},
doi = {10.3934/math.2022725},
abstract = {In this article, the generalized        (          N      +      1        )  -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        (                  G        ′                    /            G      ,      1              /            G        )   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.}
}