Xenitidis, Pavlos (2018) Determining the symmetries of difference equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474 (2219). Article Number 20180340. ISSN 1364-5021. E-ISSN 1471-2946. (doi:10.1098/rspa.2018.0340) (KAR id:70451)
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Official URL: http://dx.doi.org/10.1098/rspa.2018.0340 |
Abstract
We derive the determining equations for the Nth-order generalized symmetries of partial difference equations defined on d consecutive quadrilaterals on the lattice using the theory of integrability conditions. We provide their algebraic formulation and develop the necessary theoretical framework for their analysis along with a systematic method for solving functional equations of the form \(\mathscr T (f) + Af + B = 0\). Our approach is algorithmic and can be easily implemented in symbolic computations. We demonstrate our approach by deriving the symmetries of various equations and discuss certain applications and extensions of the theory.
Item Type: | Article |
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DOI/Identification number: | 10.1098/rspa.2018.0340 |
Uncontrolled keywords: | d-quad difference equations, symmetries, integrability conditions, determining equations |
Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Pavlos Xenitidis |
Date Deposited: | 29 Nov 2018 12:35 UTC |
Last Modified: | 28 Jul 2022 22:08 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/70451 (The current URI for this page, for reference purposes) |
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