Lie symmetry analysis, exact solutions, and conservation laws of variable-coefficients Boiti-Leon-Pempinelli equation
type: Item
instance of: scholarly article
title: Lie symmetry analysis, exact solutions, and conservation laws of variable-coefficients Boiti-Leon-Pempinelli equation
zbMATH Open document ID: 1481.35022
DOI: 10.1155/2021/6227384
author: Feng Zhang
author: Yuru Hu
author: Xiang-Peng Xin
published in: Advances in Mathematical Physics
publication date: 2022-01-06T00:00:00Z
review text: Summary: In this article, we study the generalized \((2+1)\)-dimensional variable-coefficients Boiti-Leon-Pempinelli (vcBLP) equation. Using Lie's invariance infinitesimal criterion, equivalence transformations and differential invariants are derived. Applying differential invariants to construct an explicit transformation that makes vcBLP transform to the constant coefficient form, then transform to the well-known Burgers equation. The infinitesimal generators of vcBLP are obtained using the Lie group method; then, the optimal system of one-dimensional subalgebras is determined. According to the optimal system, the \((1+1)\)-dimensional reduced partial differential equations (PDEs) are obtained by similarity reductions. Through \((G^\prime/G)\)-expansion method leads to exact solutions of vcBLP and plots the corresponding 3-dimensional figures. Subsequently, the conservation laws of vcBLP are determined using the multiplier method.
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 7452847
zbMATH Keywords: equivalence transformations
zbMATH Keywords: differential invariants
zbMATH Keywords: \((G^\prime/G)\)-expansion method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6227384
OpenAlex ID: W3215790766
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cites work: Dynamics and exact solutions of non-evolutionary partial differential equations
cites work: Symmetries, conservation laws, and cohomology of Maxwell's equations using potentials
cites work: Soliton molecules and some novel types of hybrid solutions to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
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description: scientific article; zbMATH DE number 7452847