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Continuum Limit of the Triple Tau-Function Model
Authors:Mangazeev  V V  Sergeev  S M
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
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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