Constructing symmetries and finding a first integral of a system of partial differential-difference equations

We obtain necessary and sufficient conditions for a system of partial differential-difference equations to admit a group of infinitesimal point transformations. We use examples to illustrate how one can find such groups and generators of symmetries as well as first integrals and functionals for pote...

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Bibliographic Details
Published in:Differential equations 2015-02, Vol.51 (2), p.196-203
Main Author: Kolesnikova, I. A.
Format: Article
Language:English
Subjects:
Construction
Difference and Functional Equations
Differential equations
Functionals
Group theory
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Ordinary Differential Equations
Partial Differential Equations
Studies
Symmetry
Transformations
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Description
Summary:We obtain necessary and sufficient conditions for a system of partial differential-difference equations to admit a group of infinitesimal point transformations. We use examples to illustrate how one can find such groups and generators of symmetries as well as first integrals and functionals for potential operators.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115020056