Results 41 to 50 of about 26,049 (163)
Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation
Advances in Mathematical Physics, 2023 In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory.
Ramin Najafi +2 more
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LIE SYMMETRY ANALYSIS TO FISHER'S EQUATION WITH TIME FRACTIONAL ORDER
Journal of Applied Analysis & Computation, 2020 Summary: The aim of this letter is to apply the Lie group analysis method to the Fisher's equation with time fractional order. We considered the symmetry analysis, explicit solutions to the time fractional Fisher's(TFF) equations with Riemann-Liouville (R-L) derivative.
Wang, Zhenli, Zhang, Lihua, Liu, Hanze
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Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation
AppliedMathIn this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo +2 more
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Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance
Abstract and Applied Analysis, 2013 The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
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Results in Physics, 2021 In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlevé analysis.
Sandeep Malik +4 more
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Lie group analysis and its invariants for the class of multidimensional nonlinear wave equations
Nonlinear AnalysisWe systematically classify Lie symmetries of a class of (2 + 1)-dimensional nonlinear wave equations. Our methodology proposes a symmetry classification for Lie generators applicable to four distinct cases inherent within this equation.
Akhtar Hussain +3 more
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FUNCTIONAL REALIZATIONS OF LIE ALGEBRAS AS NOETHER POINT SYMMETRIES OF SYSTEMS
Acta Polytechnica, 2017 Functional realizations of Lie algebras are applied to the problem of determining Lie and Noether point symmetries of Lagrangian systems in N dimensions, particularly in the plane.
Rutwig Campoamor-Stursberg
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Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method
Journal of Mathematics, 2023 In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity.
Rajagopalan Ramaswamy +4 more
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Optical quasi-solitons by Lie symmetry analysis
Journal of King Saud University - Science, 2012 AbstractThis paper studies optical quasi-solitons by the aid of Lie group analysis. Nine types of nonlinearities are considered here. They are Kerr law, power law, parabolic law, dual-power law, polynomial law, triple-power law, saturable law, exponential law and log law nonlinearity. A closed form solution is obtained in each case.
Biswas, Anjan, Khalique, Chaudry Masood
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Analysis of granule cell generation system by lie symmetry method
Cumhuriyet Science Journal, 2020 In this paper, we study main headlines of brain development which is a major problem in neurobiology in present. Our aim here is to find the analytical solution of the equation that belongs to the brain development system. For this solution, the exchange of cerebellum granule cells in EGL (External granule layer of the cerebellum) is discussed.
KOCABIYIK, MEHMET, YAKIT ONGUN, MEVLÜDE
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