The integrable discretization of the Bianchi-Ernst system

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We present the constraint for the discrete Moutard equation which gives the integrable discretization of the Bianchi-Ernst system. We also derive the discrete analogue of the Bianchi transformation between solutions of such a system (the Darboux-Backlund transformation in soliton terminology). We finally obtain the superposition of discrete Bianchi transformations.
10 pages, uses elsart.cls style

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0104065
 http://arxiv.org/abs/nlin/0104065

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arXiv