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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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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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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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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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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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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 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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Automorphic Lie algebras with dihedral symmetry
, 2014 The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan +10 more
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