Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system (Q2296789)

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English	Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system	scientific article

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title

Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system (English)

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18 February 2020

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zbMATH Keywords

Darboux transformation

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mixed localized solutions

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the three-component Fokas-Lenells system

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11071-019-05285-y

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cites work

On a class of physically important integrable equations

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On a novel integrable generalization of the nonlinear Schrödinger equation

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Combined optical solitary waves of the Fokas—Lenells equation

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A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: II. Dark soliton solutions

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Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons

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The<i>n</i>-order rogue waves of Fokas-Lenells equation

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Solitons, breathers and rogue waves for the coupled Fokas-Lenells system via Darboux transformation

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Two-fold integrable hierarchy of nonholonomic deformation of the derivative nonlinear Schrödinger and the Lenells–Fokas equation

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General soliton solutions to a coupled Fokas-Lenells equation

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Baseband modulation instability, rogue waves and state transitions in a deformed Fokas-Lenells equation

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Interacting nonlinear wave envelopes and rogue wave formation in deep water

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Modulation instability and periodic solutions of the nonlinear Schrödinger equation

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Extreme waves that appear from nowhere: on the nature of rogue waves

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Bäcklund transformations and loop group actions

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Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations

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Generalized Darboux transformation and localized waves in coupled Hirota equations

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Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations

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The multicomponent generalized Kaup–Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions

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Darboux transformation and multi-dark soliton for<i>N</i>-component nonlinear Schrödinger equations

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Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems

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Binary Darboux transformation for the coupled Sasa-Satsuma equations

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Generalized dromion solutions of the (2+1)-dimensional KdV equation

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Nonlinear Partial Difference Equations. IV. Bäcklund Transformation for the Discrete-Time Toda Equation

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Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves

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Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation

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Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction

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Q4002235

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Darboux transformations in integrable systems. Theory and their applications to geometry

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The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form

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The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value

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Inverse scattering transformation for generalized nonlinear Schrödinger equation

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Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics

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Identifiers

zbMATH Open document ID

1430.37076

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DOI

10.1007/s11071-019-05285-y

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2296789