Results 1 to 10 of about 28,275 (337)
Lie Symmetry Analysis of the Hopf Functional-Differential Equation [PDF]
Symmetry, 2015 In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of Oberlack and Wacławczyk (2006, Arch. Mech. 58, 597), (2013, J. Math. Phys. 54, 072901), where the extended Lie symmetry analysis is performed in the Fourier space.
Daniel D. Janocha +2 more
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Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation. [PDF]
PLoS ONE, 2014 In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed.
Gang Wei Wang, Tian Zhou Xu, Tao Feng
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Journal of Taibah University for Science, 2022 This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
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Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation [PDF]
Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
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Lie symmetry analysis and similarity solutions for the Jimbo – Miwa equation and generalisations [PDF]
International Journal of Nonlinear Sciences and Numerical Simulation, 2020 Abstract We study the Jimbo – Miwa equation and two of its extended forms, as proposed by Wazwaz et al., using Lie’s group approach. Interestingly, the travelling – wave solutions for all the three equations are similar. Moreover, we obtain certain new reductions which are completely different for each of the three equations.
Amlan K. Halder +3 more
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Lie symmetries analysis for SIR model of epidemiology
Applied Mathematical Sciences, 2013 In this paper a system of nonlinear ordinary differential equations arising from SIR model of epidemiology is transformed into a system of one equation of second order and one of first order. We use the property of the Lie generators algebras for any two dimensional Lie algebra to solve the first equation of the system.
A. Ouhadan, E. H. El Kinani, M. Hajar
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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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Lie symmetry analysis of (2+1)-dimensional time fractional Kadomtsev-Petviashvili equation [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper, Lie symmetry analysis method is applied to the (2+1)-dimensional time fractional Kadomtsev-Petviashvili (KP) equation with the mixed derivative of Riemann-Liouville time-fractional derivative and integer-order $x$-derivative.
Jicheng Yu, Yuqiang Feng
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Review of symbolic software for lie symmetry analysis
Mathematical and Computer Modelling, 1997 The author gives an overview of existing software for Lie symmetry analysis of partial differential equations. After introducing into the methods and basic ideas the packages in MATHEMATICA, MAPLE, REDUCE, MACSYMA are listed and their abilities are discussed.
Willy Hereman
exaly +3 more sources
Lie Symmetry Analysis for the SIS Model of Epidemiology [PDF]
Proceedings, 2018 A system of three nonlinear ordinary differential ...
Mokiri Nkwana, Jacob Matshwenyego Manale
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