(2+0)-Dimensional Integrable Equations and Exact Solutions

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dc.creatorGutshabash, E. Sh.
dc.creatorLipovskii, V. D.
dc.creatorNikulichev, S. S.
dc.date2000-01-10
dc.date.accessioned2026-07-07T05:32:36Z
dc.date.available2026-07-07T05:32:36Z
dc.descriptionWe propose a nonlinear $σ$-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the $\sinh$-Gordon equation and evaluate its exact and asymptotic solutions.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/nlin/0001012
dc.identifierhttp://arxiv.org/abs/nlin/0001012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79715
dc.subjectExactly Solvable and Integrable Systems
dc.title(2+0)-Dimensional Integrable Equations and Exact Solutions
dc.typetext

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