Semidiscrete Integrable Nonlinear Systems Generated by the New Fourth Order Spectral Operator: Systems of Obverse Type

DOI

10.1142/S1402925111001684How to use a DOI?

Keywords

Zero-curvature representation; multifield integrable systems; sampling fixation; coupling parameters

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.

Copyright

© 2011 The Authors. Published by Atlantis Press and Taylor & Francis

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Oleksiy O. Vakhnenko
PY  - 2021
DA  - 2021/01/07
TI  - Semidiscrete Integrable Nonlinear Systems Generated by the New Fourth Order Spectral Operator: Systems of Obverse Type
JO  - Journal of Nonlinear Mathematical Physics
SP  - 415
EP  - 425
VL  - 18
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001684
DO  - 10.1142/S1402925111001684
ID  - Vakhnenko2021
ER  -