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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 2, Pages 192–199
(Mi tmf4326)
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This article is cited in 4 scientific papers (total in 4 papers)
Nonlinear $\sigma$ model for the Dodd–Bullough equation
V. V. Nesterenko
Abstract:
It is shown that the Dodd–Bullough equation is related to the
nonlinear two-dimensional $\rm SL(3,R)$ sigma model in which a
triplet of massless fields takes values on a sphere of
three-dimensional unimodular affine space in the same way that the
sine-Gordon equation is related to the $S^2$ sigma model, which
describes a three-component field with values on a sphere of
ordinary three-dimensional Euclidean space. Equations of motion
are obtained for the $\rm SL(3,R)$ sigma model.
Received: 03.05.1983
Citation:
V. V. Nesterenko, “Nonlinear $\sigma$ model for the Dodd–Bullough equation”, TMF, 58:2 (1984), 192–199; Theoret. and Math. Phys., 58:2 (1984), 126–131
Linking options:
https://www.mathnet.ru/eng/tmf4326 https://www.mathnet.ru/eng/tmf/v58/i2/p192
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