Gürses, Metin2016-02-082016-02-0819980377-9017http://hdl.handle.net/11693/25475Correspondence is established between sigma models, minimal surfaces and the Monge-Ampére equation. The Lax pairs of the minimality condition of the minimal surfaces and the Monge-Ampére equations are given. Existence of infinitely many nonlocal conservation laws is shown and some Bäcklund transformations are also given.EnglishBäcklund transformationsConservation lawsIntegrabilityMinimal surfacesSigma modelsArticle1573-0530