How to construct the discrete symmetries of partial differential equations
Hydon, P. E. (2000) How to construct the discrete symmetries of partial differential equations European Journal of Applied Mathematics, 11. pp. 515-527.
This paper introduces an algorithm for calculating all discrete point symmetries of a given partial differential equation with a known nontrivial group of Lie point symmetries. The method enables the user to determine the discrete symmetries with little more effort than is used to find the Lie symmetries. It is used to obtain the discrete point symmetries of Burgers' equation, the spherical Burgers' equation, and the Harry–Dym equation. The method can be extended to some types of nonlocal symmetry; we derive the quasi-local discrete symmetries of a system of PDEs from gas dynamics.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||23 November 2000|
|Additional Information :||Published in the European Journal of Applied Mathematics, 11, 515-527. © 2000 Cambridge University Press. Reprinted with permission.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:40|
|Last Modified :||23 Sep 2013 18:32|
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