ANALYSIS OF (1 + n)-DIMENSIONAL GENERALIZED CAMASSA–HOLM KADOMTSEV–PETVIASHVILI EQUATION THROUGH LIE SYMMETRIES, NONLINEAR SELF-ADJOINT CLASSIFICATION AND TRAVELLING WAVE SOLUTIONS-Reference-Cited by-同舟云学术

ANALYSIS OF (1 + n)-DIMENSIONAL GENERALIZED CAMASSA–HOLM KADOMTSEV–PETVIASHVILI EQUATION THROUGH LIE SYMMETRIES, NONLINEAR SELF-ADJOINT CLASSIFICATION AND TRAVELLING WAVE SOLUTIONS

Published:2023-01 Issue:10 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

HUSSAIN AMJAD¹^ORCID,JHANGEER ADIL²^ORCID,ZIA MUHAMMAD KHUBAIB¹,KHAN ILYAS³^ORCID,GANIE ABDUL HAMID⁴^ORCID,ELDIN SAYED M.⁵

Affiliation:

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

2. Department of Mathematics, Namal Institute, 30 Km Talagang Road, Mianwali 42250, Pakistan

3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, P. O. Box 66, Majmaah 11952, Saudi Arabia

4. Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University-Abha, Male 61421, Saudi Arabia

5. Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt

Abstract

In this paper, the nonlinear [Formula: see text]-dimensional generalized Camassa–Holm Kadomtsev–Petviashvili (g-CH-KP) equation is examined using Lie theory. Lie point symmetries of the equation are computed using MAPLE software and are generalized for the case of any dimension. Moreover, the equation is transformed into a nonlinear ordinary differential equation using the Abelian subalgebra. The nonlinear self-adjoint classification of the equation under consideration is accomplished with the help of which conservation laws for a particular dimension are calculated. Moreover, the new extended algebraic approach is used to compute a wide range of solitonic structures using different set of parameters. Graphic description of some specific applicable solutions for certain physical parameters is portrayed.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23400789

Reference57 articles.

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