Continuum Limit of the Triple Tau-Function Model |
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Authors: | Mangazeev V V Sergeev S M |
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Institution: | (1) Centre for Mathematics and Its Applications, School of Mathematical Sciences, Australian National University, Canberra, Australia;(2) Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Oblast, Russia |
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Abstract: | We present a system of integrable second-order differential equations for three fields in the three-dimensional space–time. The system is obtained as the continuum limit of discrete equations for a triplet of tau-functions. We give a parameterization of the soliton solutions of equations of motion, describe the linear problem, and establish the integrability of the corresponding classical field theory. |
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