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New Integrable Nonlinear Lattice Systems with Two Adjustable Coupling Parameters

New Integrable Nonlinear Lattice Systems with Two Adjustable Coupling Parameters Abstract The double reduction when having been applied to the fourth-order spectral operator on a discrete spatial support is shown to inspire early unknown multicomponent semidiscrete integrable nonlinear systems associated with the nonsinglular spectral operator of third order and characterized by an additional coupling parameter. Two forms of zero-curvature representation yielding the proposed integrable systems are given. Relying upon the lowest local conservation laws the selfconsistent system with the symmetric parametrization of field amplitudes is selected. The variativity of its coupling parameters is expected to ensure a number of qualitatively distinct regimes of system nonlinear dynamics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

New Integrable Nonlinear Lattice Systems with Two Adjustable Coupling Parameters

Nonlinear Engineering , Volume 2 – Dec 1, 2013

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Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
2192-8029
eISSN
2192-8010
DOI
10.1515/nleng-2013-0013
Publisher site
See Article on Publisher Site

Abstract

Abstract The double reduction when having been applied to the fourth-order spectral operator on a discrete spatial support is shown to inspire early unknown multicomponent semidiscrete integrable nonlinear systems associated with the nonsinglular spectral operator of third order and characterized by an additional coupling parameter. Two forms of zero-curvature representation yielding the proposed integrable systems are given. Relying upon the lowest local conservation laws the selfconsistent system with the symmetric parametrization of field amplitudes is selected. The variativity of its coupling parameters is expected to ensure a number of qualitatively distinct regimes of system nonlinear dynamics.

Journal

Nonlinear Engineeringde Gruyter

Published: Dec 1, 2013

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