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   Articles with "integrable nonlinear" as a keyword



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Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon

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recommendations! Published in 2020 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-020-05587-6

Abstract: Under investigation in this paper is a discrete reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon, which may have some prospective applications in modern nanoribbon. First, we construct the infinitely many conservation laws and… read more here.

Keywords: schr dinger; system; nonlinear schr; integrable nonlinear ... See more keywords
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Integrable nonlinear Schrödinger system on a lattice with three structural elements in the unit cell

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recommendations! Published in 2018 at "Journal of Mathematical Physics"

DOI: 10.1063/1.4994622

Abstract: Developing the idea of increasing the number of structural elements in the unit cell of a quasi-one-dimensional lattice as applied to the semi-discrete integrable systems of nonlinear Schrodinger type, we construct the zero-curvature representation for… read more here.

Keywords: system; integrable nonlinear; elements unit; structural elements ... See more keywords
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Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem

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recommendations! Published in 2020 at "Journal of Nonlinear Mathematical Physics"

DOI: 10.1080/14029251.2020.1819605

Abstract: We consider the Cauchy problem of integrable nonlinear Schrödinger equation with quartic terms on the line. The first part of the paper considers the Riemann-Hilbert formula via the unified method(also known as the Fokas method).… read more here.

Keywords: dinger equation; nonlinear schr; integrable nonlinear; cauchy problem ... See more keywords
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Fractional Integrable Nonlinear Soliton Equations.

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recommendations! Published in 2022 at "Physical review letters"

DOI: 10.1103/physrevlett.128.184101

Abstract: Nonlinear integrable equations serve as a foundation for nonlinear dynamics, and fractional equations are well known in anomalous diffusion. We connect these two fields by presenting the discovery of a new class of integrable fractional… read more here.

Keywords: nonlinear soliton; integrable nonlinear; fractional integrable; soliton equations ... See more keywords