Results 41 to 50 of about 23,641,221 (298)
Lie symmetry analysis and similarity solutions for the Camassa–Choi equations [PDF]
Analysis and Mathematical Physics, 2021 The method of Lie symmetry analysis of differential equations is applied to determine exact solutions for the Camassa-Choi equation and its generalization. We prove that the Camassa-Choi equation is invariant under an infinite-dimensional Lie algebra, with an essential five-dimensional Lie algebra.
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Mathematics, 2023 The analysis of differential equations using Lie symmetry has been proved a very robust tool. It is also a powerful technique for reducing the order and nonlinearity of differential equations.
Musrrat Ali +3 more
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RENORMALIZATION GROUP SYMMETRY AND SOPHUS LIE GROUP ANALYSIS [PDF]
International Journal of Modern Physics C, 1995 We start with a short discussion of the content of a term Renormalisation Group in modern use. By treating the underlying solution property as a reparametrisation symmetry, we relate it with the self-similarity symmetry well-known in mathematical physics and explain the notion of Functional Self-similarity.
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On the Classification of Automorphic Lie Algebras [PDF]
, 2009 The problem of reduction of integrable equations can be formulated in a uniform way using the theory of invariants. This provides a powerful tool of analysis and it opens the road to new applications of Automorphic Lie Algebras, beyond the context of ...
Sanders, Jan +7 more
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Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions [PDF]
, 2020 In this work, we consider the chiral nonlinear Schrödinger equation in (2 + 1)-dimensions, which describes the envelope of amplitude in many physical media.
Tian, Shou-Fu +3 more
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Coupled Burgers equations governing polydispersive sedimentation; a Lie symmetry approach
Results in Physics, 2020 We study coupled Burgers equations that model polydispersive sedimentation from Lie symmetry standpoint. We perform Lie group analysis technique on the system and obtain symmetry reductions. Travelling wave solutions are constructed using the translation
Chaudry Masood Khalique +1 more
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Lie symmetry analysis of conformable differential equations
AIMS Mathematics, 2019 In this paper, we construct a proper extension of the classical prolongation formula of point transformations for conformable derivative. This technique is illustrated and employed to construct a symmetry group admitted by a conformable ordinary and partial differential equations.
Youness Chatibi +2 more
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Lie Symmetry Analysis on Benjamin-Ono Equation
Journal of Physics: Conference Series, 2020 Abstract Benjamin-Ono Equation are significantly important in describes the one-dimensional internal waves in deep water. Because of its significance, Lie symmetry reduction were chosen to reduce the equation and hence solve the equation. Lie symmetry analysis is one of the powerful methods to solve partial differential equation.
Joseph Boon Zik Hong +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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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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