Integrability Properties of the Slepyan-Palmov Model Arising in the Slepyan-Palmov Medium
Usman, Muhammad (National University of Sciences and Technology. College of Electrical and Mechanical Engineering)
Hussain, Akhtar (Government College University. Abdus Salam School of Mathematical Sciences)
Zaman, Fiazuddin (Government College University. Abdus Salam School of Mathematical Sciences)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)
Almalki, Yahya (King Khalid University. Department of Mathematics)

Date:	2023
Abstract:	This study investigates the Slepyan-Palmov (SP) model, which describes plane longitudinal waves propagating within a medium comprising a carrier medium and nonlinear oscillators. The primary objective is to analyze the integrability properties of this model. The research entails two key aspects. Firstly, the study explores the group invariant solution by utilizing reductions in symmetry subalgebras based on the optimal system. Secondly, the conservation laws are studied using the homotopy operator, which offers advantages over the conventional multiplier approach, especially when arbitrary functions are absent from both the equation and characteristics. This method proves advantageous in handling complex multipliers and yields significant outcomes.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Lie symmetry method ; The Slepyan-Palmov model ; Optimal system ; Longitudinal wave ; Conservation laws ; Homotopy operator
Published in:	Mathematics, Vol. 11, Issue 21 (November 2023) , art. 4545, ISSN 2227-7390

DOI: 10.3390/math11214545

13 p, 1.2 MB

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