Sigma Models and Minimal Surfaces
classification
solv-int
nlin.SI
keywords
minimalsurfacesgivenmodelsmonge-amperesigmabacklundcondition
read the original abstract
The correspondance is established between the sigma models, the minimal surfaces and the Monge-Ampere equation. The Lax -Pairs of the minimality condition of the minimal surfaces and the Monge-Ampere equations are given. Existance of infinitely many nonlocal conservation laws is shown and some Backlund transformations are also given.
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