Sigma Models and Minimal Surfaces

Details Sigma Models and Minimal Surfaces Sigma Models and Minimal Surfaces

1997-12-23

arxiv.org/abs/solv-int/9712018v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 13pp, to be published in Letters in Mathematical Physics

Scientific paper

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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