Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations |
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Authors: | E Sh Gutshabash V D Lipovskii S S Nikulichev |
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Institution: | (1) St Petersburg State University, St. Petersburg, Russia |
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Abstract: | We 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.
Deceased.
Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 115, No. 3, pp. 323–348, June, 1998. |
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