Results 21 to 30 of about 26,049 (163)
A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian [PDF]
Studies in Applied Mathematics, 2018 AbstractIn this work, we consider the Lie point symmetry analysis of a strongly nonlinear partial differential equation of third order, the ∞‐Polylaplacian, in two spatial dimensions. This equation is a higher order generalization of the ∞‐Laplacian, also known as Aronsson's equation, and arises as the analog of the Euler–Lagrange equations of a second‐
Georgios Papamikos, Tristan Pryer
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Results in Physics, 2019 This paper obtains optical soliton solutions with parabolic law nonlinearity coupled in nonlocal nonlinear medium. Lie symmetry analysis coupled with modified G′/G-expansion scheme retrieves these solitons.
Anupma Bansal +5 more
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Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
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CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation.
S. R. Hejazi, E. Lashkarian
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Conservation laws for perturbed solitons in optical metamaterials
Results in Physics, 2018 The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model will be studied with two forms of nonlinearity. They are Kerr law and parabolic law. Keywords:
Anjan Biswas +6 more
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Results in Physics, 2020 In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
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Lie symmetry analysis of the Hanta-epidemic systems
Journal of Mathematics and Computer Science, 2017 Summary: We consider a model for the fatal Hanta-virus infection among mice. Lie symmetry analysis is applied to find general solutions to Hanta-virus model, which is also known as Abramson-Kenkre model. Besides the solution for the version with derivatives of fractional order, we investigate the model also by using the Lie symmetry method.
YAKIT ONGUN, Mevlüde, Kocabiyik, Mehmet
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On a Qualitative and Lie Symmetry Analysis for a Pendulum with Two Reaction Wheels
The Quarterly Journal of Mechanics and Applied Mathematics, 2022 Summary In this article, it is studied the mechanical system formed by a pendulum with two reaction wheels in which the friction torque is assumed to follow a Coulomb law. A qualitative analysis of the system is performed for the damped case. Specifically, the equilibrium points for the unforced pendulum are analyzed. Also, in the forced
Ruiz, A. +3 more
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Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation
Journal of Function Spaces, 2021 Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation.
Rong Qi +4 more
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Journal of Ocean Engineering and Science, 2022 This work aims to present nonlinear models that arise in ocean engineering. There are many models of ocean waves that are present in nature. In shallow water, the linearization of the equations requires critical conditions on wave capacity than it make ...
Mohamed R. Ali, Wen-Xiu Ma, R. Sadat
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