The integrable discretization of the Bianchi-Ernst system

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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10 pages, uses elsart.cls style

Scientific paper

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.

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