气候变化领域集成服务门户(CCPortal): Lie symmetries, soliton dynamics, conservation laws and stability analysis of Bogoyavlensky-Konoplechenko system

CCPortal

DOI	10.1007/s11082-024-06990-8
	Lie symmetries, soliton dynamics, conservation laws and stability analysis of Bogoyavlensky-Konoplechenko system
	Kumar, Mukesh; Srivastava, Shristi; Tanwar, Dig Vijay
发表日期	2024
ISSN	0306-8919
EISSN	1572-817X
起始页码	56
结束页码	7
卷号	56 期号:7
英文摘要	Nonlinear waves are pivotal in analyzing the propagation of electromagnetic waves and the dynamics of oceanic systems. These waves are indispensable for modeling the long-term impacts of wave energy in coastal regions, addressing critical issues such as climate change adaptation, erosion and coastal flooding. The Bogoyavlensky-Konoplechenko system describes the interaction of the Riemann wave and the long wave propagating in two dimensions. The present work aims to elaborate symmetry reductions and derive invariant solutions of the proposed system. Meanwhile, the infinitesimal generators under one-parameter transformation are constructed, which render the system invariant. Therefore, a repeated process of reductions results in an equivalent system of ordinary differential equations and hence, leads to exact solutions. The solutions have rich physical significance and are efficient in defining several phenomena due to existing arbitrary functions and constants. To examine the physical nature of these solutions, numerical simulation is performed and thus, wave structures like bright and dark lumps, multisoliton, line multisoliton, periodic and annihilation profiles are analyzed. The bifurcation theory has been used to investigate the stability of dynamical system and examine corresponding phase portraits. Furthermore, the conserved vectors with underlying symmetries are constructed using Noether's theorem.
英文关键词	Bogoyavlensky-Konoplechenko system; Lie symmetry method; Soliton; Bifurcation theory; Conservation law
语种	英语
WOS研究方向	Engineering ; Physics ; Optics
WOS类目	Engineering, Electrical & Electronic ; Quantum Science & Technology ; Optics
WOS记录号	WOS:001227642700001
来源期刊	OPTICAL AND QUANTUM ELECTRONICS
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/294855
作者单位	National Institute of Technology (NIT System); Motilal Nehru National Institute of Technology; Graphic Era University
推荐引用方式 GB/T 7714	Kumar, Mukesh,Srivastava, Shristi,Tanwar, Dig Vijay. Lie symmetries, soliton dynamics, conservation laws and stability analysis of Bogoyavlensky-Konoplechenko system[J],2024,56(7).
APA	Kumar, Mukesh,Srivastava, Shristi,&Tanwar, Dig Vijay.(2024).Lie symmetries, soliton dynamics, conservation laws and stability analysis of Bogoyavlensky-Konoplechenko system.OPTICAL AND QUANTUM ELECTRONICS,56(7).
MLA	Kumar, Mukesh,et al."Lie symmetries, soliton dynamics, conservation laws and stability analysis of Bogoyavlensky-Konoplechenko system".OPTICAL AND QUANTUM ELECTRONICS 56.7(2024).