Lie Symmetry Analysis
Lie Symmetry Analysis and Exact Solutions of the Sharma-Tasso-Olever Equation
... The rest of this paper is organized as follows: In Section II, the vector fields of Eq. (1) are presented by using Lie symmetry analysis method. Based on the optimal dynamical system method, all the ...
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Space time fractional Rosenou Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
... This article uses the extension of the Lie symmetry analysis (LSA) and conservation laws (Cls) (Singla et al. in Nonlinear Dyn. 89(1):321-331, 2017; Singla et al. in J. Math. Phys. 58:051503, 2017) ...
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Lie symmetry analysis of stochastic SIRS model
... the Lie point symmetries of stochastic differential ...find Lie operators of the three dimensional nonlinear ...the Lie symmetry analysis in Section ...of Lie symmetry in ...
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Lie Symmetry Analysis and Exact Solutions of General Time Fractional Fifth-order Korteweg-de Vries Equation
... equation, Lie symmetry analysis [3]–[7] can provide an effective procedure for conservations laws, explicit and numerical solutions of a wide and general class of differential systems representing ...
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Lie symmetry Analysis and Invariant Solutions for Multiregion Neutron Diffusion Equation
... obtain symmetry groups and invariant solutions for the MNDE using the Lie symmetry ...the Lie symmetry analysis of the ...
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Lie symmetry analysis for Kawahara-KdV equations
... to Symmetry Analysis, Cambridge University Press, ...Ying-Yuan, Lie Symmetry Analysis and Invariant Solutions of the Generalized Fifth-order KdV Equation with Variable Coefficients, ...
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Lie Symmetry Analysis, Optimal Systems and Explicit Solutions of the Dispersive Long Wave Equations
... the Lie symmetry analysis is performed for the dispersive long wave equations; in Section 3, the optimal systems and the similarity reductions of Equation (1) are researched employing Lie ...
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The classification of delay differential equations using lie symmetry analysis
... how Lie symmetry analysis can be systematically applied to DDEs using Lie group ...admitted Lie group for functional ...the Lie algebra in the space of the resulting ...a ...
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Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system
... Over the past few decades, the problem of classifying the subgroup was studied by many researchers. In order to demonstrate the classification of the group invariant solutions, Ovsiannikov put forward the concept of ...
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Lie symmetry analysis and numerical solutions for thermo solutal chemicallyreacting radiative micropolar flow from an inclined porous surface
... Steady, laminar, incompressible thermo-solutal natural convection flow of micropolar fluid from an inclined perforated surface with convective boundary conditions is studied. Thermal radiative flux and chemical reaction ...
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Lie symmetry analysis of the time variable coefficient B BBM equation
... direct analysis of the classifying relations was employed to obtain the functional forms of the time-dependent arbitrary parameters for the B-BBM ...metry Lie algebra of dimension two is obtained for each ...
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Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
... In this paper, we applied the approximate nonclassical Lie symmetry analysis to a class of time-fractional differential equations with the small parameter. By employ- ing these method and some ...
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Group Invariant Solutions for the Generalised Fisher Type Equation
... particular, from the classical Lie symmetry analysis point of view (see e.g. [8]), and nonclassical symmetry techniques [7] [9] [10]. It turns out that reaction diffusion equations such as the ...
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On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system
... using Lie symmetry analysis along with the simplest equation and Jacobi elliptic equation ...Also, symmetry reductions are obtained based on the optimal system of one-dimensional ...
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Elementary Lie Algebras and Lie A Algebras
... finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is ...semisimple Lie algebras, ...
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Energy-Momentum Tensors and Motion in Special Relativity
... e symmetry – so called Poincar´ e charges –, the frame-dependent decomposition of global angular momentum into Spin and an orbital part, and, last not least, the likewise frame-dependent notion of centre of mass ...
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A review of some geometric integrators
... the Lie group of local symmetries of partial differential equations is ...of Lie-symmetry-preserving numerical scheme is then ...integrator, Lie-symmetry preserving scheme, Discrete ...
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Some robust integrators for large time dynamics
... For equations having an underlying geometric structure (Hamiltonian systems, varia- tional problems, Lie symmetry group, Dirac structure,. ), geometric integrators appear to be very robu[r] ...
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Lie Symmetries, One Dimensional Optimal System and Optimal Reduction of (2 + 1) Coupled nonlinear Schrödinger Equations
... the Lie algebra 8 spaned by ...a Lie algebra is a subalgebra classification ...the Lie algebra. The adjoint representation is given by the Lie series ...
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Analytical research of (\(3+1\)) dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach
... theoretical meaning in the atmosphere and ocean. However, the previous studies on Rossby waves commonly were carried out in the zonal area and could not be applied directly to the spherical earth. In order to overcome ...
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