Abstract
In the framework of zero-curvature representation we have proposed three distinct versions of semidiscrete integrable nonlinear systems arising due to a proper multifield augment of integrable nonlinear Schrödinger system with the background-controlled intersite resonant couplings. The specification either of these three systems is essentially based upon the lowest local conservation laws early found by means of modified recurrence procedure and consists in a proper fixation of sampling functions within the general evolution operator of obverse type. The number of actual field variables in each of obtained systems is shown to be considerably reduced due to the two natural constraints independent of sampling fixation and two additional constraints dictated by the chosen sampling.
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