Abstract

The Liouville equation is well known to be linearizable by a point transformation. It has an infinite dimensional Lie point symmetry algebra isomorphic to a direct sum of two Virasoro algebras. We show that it is not possible to discretize the equation keeping the entire symmetry algebra as point symmetries. We do however construct a difference system approximating the Liouville equation that is invariant under the maximal finite subgroup ##IMG## [http://ej.iop.org/images/1751-8121/48/2/025204/jpa504755ieqn1.gif] {$S{{L}_{x}}(2,mathbb{R})otimes S{{L}_{y}}(2,mathbb{R})$} . The invariant scheme is an explicit one and provides a much better approximation of exact solutions than a comparable standard (noninvariant) scheme and also than a scheme invariant under an infinite dimensional group of generalized symmetries.

Autore Pugliese

• Martina Luigi

Tutti gli autori

• D Levi , L Martina , P Winternitz

Titolo volume/Rivista

JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL

Anno di pubblicazione

2015

ISSN

1751-8113

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

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Numero di citazioni Scopus

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Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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