نتایج جستجو برای: lie symmetry

تعداد نتایج: 129103  

Journal: :Journal of Nonlinear Mathematical Physics 1996

2018
Allan P. FORDY Qing HUANG

Using a Poisson bracket representation, in 3D, of the Lie algebra sl(2), we first use highest weight representations to embed this into larger Lie algebras. These are then interpreted as symmetry and conformal symmetry algebras of the “kinetic energy”, related to the quadratic Casimir function. We then consider the potentials which can be added, whilst remaining integrable, leading to families ...

2003
P. E. Hydon

This paper describes a new symmetry-based approach to solving a given ordinary di¬erence equation. By studying the local structure of the set of solutions, we derive a systematic method for determining one-parameter Lie groups of symmetries in closed form. Such groups can be used to achieve successive reductions of order. If there are enough symmetries, the di¬erence equation can be completely ...

Journal: :Proceedings of the American Mathematical Society 1965

Journal: :International Journal of Modern Physics A 1996

Journal: :Computer Physics Communications 2011
Tarcísio M. Rocha Filho Annibal Figueiredo

We present the package SADE (Symmetry Analysis of Differential Equations) for the determination of symmetries and related properties of systems of differential equations. The main methods implemented are: Lie, non classical, Lie-Bäcklund and potential symmetries, invariant solutions, first-integrals, Nöther theorem for both discrete and continuous systems, solution of ordinary differential equa...

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