Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized (N

被引：6

作者：

Hussain, Amjad ^{[1
]}

Zia, Muhammad Khubaib ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Vijayakumar, Velusamy ^{[3
]}

Khan, Ilyas ^{[4
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[3] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[4] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 07期

关键词：

generalized Boussinesq equation; Lie symmetry analysis; nonlinear self-adjointness; (G; '/G; 1/G) expansion method; conservation laws; KADOMTSEV-PETVIASHVILI EQUATION; PERIODIC-WAVE SOLUTIONS; BOUSSINESQ EQUATION; LAWS; SOLITONS;

D O I：

10.3934/math.2022725

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：13139 / 13168

页数：30

共 63 条

[1] Optical solitons and other solutions to Kaup-Newell equation with Jacobi elliptic function expansion method [J].