Results 41 to 50 of about 364,726 (278)
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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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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Superconformal Symmetry in Three-dimensions [PDF]
, 1999 Three-dimensional N-extended superconformal symmetry is studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry ...
Erdmenger +28 more
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Eigenfunction Expansions of Functions Describing Systems with Symmetries [PDF]
, 2007 Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompact semisimple real Lie group $G$.
Kachuryk, Ivan, Klimyk, Anatoliy
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Lie symmetry analysis of some conformable fractional partial differential equations [PDF]
Arabian Journal of Mathematics, 2018 In this article, Lie symmetry analysis is used to investigate invariance properties of some nonlinear fractional partial differential equations with conformable fractional time and space derivatives. The analysis is applied to Korteweg-de Vries, modified Korteweg-de Vries, Burgers, and modified Burgers equations with conformable fractional time and ...
Tayyan, B. A., Sakka, A. H
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Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation
Communications in Mathematics, 2022 In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All the geometry vector fields of seventh order KdV equations are presented. Using Lie transformation seventh order CDG equation is reduced into ordinary differential equations. These ODEs are solved by power series method to obtain exact solution.
Sharma, Hariom, Arora, Rajan
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Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces
, 2017 We perform the complete symmetry classification of the Klein-Gordon equation in maximal symmetric spacetimes. The central idea is to find all possible potential functions $V(t,x,y)$ that admit Lie and Noether symmetries.
Jamal, Sameerah +1 more
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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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Symmetry and Lie-Frobenius reduction of differential equations
, 2014 Twisted symmetries, widely studied in the last decade, proved to be as effective as standard ones in the analysis and reduction of nonlinear equations. We explain this effectiveness in terms of a Lie-Frobenius reduction; this requires to focus not just ...
Gaeta, Giuseppe
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