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Solutions of the modified chiral model in (2+1) dimensions
Author(s) -
Theodora Ioannidou,
W. J. Zakrzewski
Publication year - 1998
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.532414
Subject(s) - partial differential equation , mathematics , sequence (biology) , order (exchange) , separable partial differential equation , first order partial differential equation , differential equation , field (mathematics) , partial derivative , mathematical analysis , ordinary differential equation , pure mathematics , differential algebraic equation , genetics , finance , economics , biology
This paper deals with classical solutions of the modified chiral model on $R^{2+1}$. Such solutions are shown to correspond to products of various factor which we call time-dependent unitons. Then the problem of solving the system of second-order partial differential equations for the chiral field is reduced to solving a sequence of systems of first-order partial differential equations for the unitons

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