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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Sigma Models and Minimal Surfaces

Authors	Metin Gurses
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9712018
URL	https://arxiv.org/abs/solv-int/9712018

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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    "abstract": "The correspondance is established between the sigma models, the minimal\nsurfaces and the Monge-Ampere equation. The Lax -Pairs of the minimality\ncondition of the minimal surfaces and the Monge-Ampere equations are given.\nExistance of infinitely many nonlocal conservation laws is shown and some\nBacklund transformations are also given.",
    "arxiv_id": "solv-int/9712018",
    "authors": [
      "Metin Gurses"
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    "title": "Sigma Models and Minimal Surfaces",
    "url": "https://arxiv.org/abs/solv-int/9712018"
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