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Symmetries of integro-differential equations: A survey of methods illustrated by the Benny equations
Responsible organisation
2002 (English)In: Nonlinear dynamics, ISSN 0924-090X, E-ISSN 1573-269X, 135-153 p.Article in journal (Refereed) Published
Abstract [en]

Classical Lie group theory provides a universal tool for calculating symmetry groups for systems of differential equations. However Lie's method is not as much effective in the case of integral or integro-differential equations as well as in the case of infinite systems of differential equations. This paper is aimed to survey the modern approaches to symmetries of integro-differential equations. As an illustration, an infinite symmetry Lie algebra is calculated for a system of integro-differential equations, namely the well-known Benny equations. The crucial idea is to look for symmetry generators in the form of canonical Lie-Backlund operators.

Place, publisher, year, edition, pages
DORDRECHT: KLUWER ACADEMIC PUBL , 2002. 135-153 p.
Keyword [en]
integro-differential equation, symmetry, Benny equations
National Category
Mathematical Analysis Mathematics
Identifiers
URN: urn:nbn:se:bth-8108ISI: 000174933300004Local ID: oai:bth.se:forskinfo709981E226EFCD28C12575B000215C41OAI: oai:DiVA.org:bth-8108DiVA: diva2:835796
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

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CiteExportLink to record
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