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

Amjad Hussain, Adil Jhangeer, Muhammad Khubaib Zia, Ilyas Khan, Abdul Hamid Ganie and Sayed M. Eldin
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Amjad Hussain: Department of Mathematics, Quaid-I-Azam University, 45320 Islamabad, Pakistan
Adil Jhangeer: ��Department of Mathematics, Namal Institute, 30 Km Talagang Road, Mianwali 42250, Pakistan
Muhammad Khubaib Zia: Department of Mathematics, Quaid-I-Azam University, 45320 Islamabad, Pakistan
Ilyas Khan: ��Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, P. O. Box 66, Majmaah 11952, Saudi Arabia
Abdul Hamid Ganie: �Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University-Abha, Male 61421, Saudi Arabia
Sayed M. Eldin: �Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-29

Abstract: In this paper, the nonlinear (1 + n)-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.

Keywords: Generalized Camassa–Holm Kadomtsev–Petviashvili (g-CH-KP) Equation; Lie Analysis; Conservation Laws; Nonlinear Self-adjointness; New Extended Direct Algebraic Method (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400789

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