Results 31 to 40 of about 26,049 (163)
Results in Physics, 2023 The Lie symmetry analysis of the Riabouchinsky Proudman Johnson (RPJ) equation is discussed in this research. In the onset, we derive the geometric vector fields using the classical Lie symmetry technique. Here, we have a four-dimensional Lie algebra.
A. Hussain +3 more
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Conservation law and Lie symmetry analysis of Foam Drainage equation [PDF]
AUT Journal of Mathematics and Computing, 2021 In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE.
Mehdi Nadjafikhah, Omid Chekini
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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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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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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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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 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 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 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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