A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves (Q2418454)

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English	A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves	scientific article

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title

A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves (English)

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3 June 2019

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zbMATH Keywords

Hermitian symmetric space Fokas-Lenells equation

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multi-soliton solution

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kink-breather solution

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rogue wave solution

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dynamical behaviour

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Mathematica

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.aop.2019.02.018

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cites work

On a class of physically important integrable equations

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Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers

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Dressing for a novel integrable generalization of the nonlinear Schrödinger equation

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Lattice representation and dark solitons 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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General soliton solutions to a coupled Fokas-Lenells equation

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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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Financial Rogue Waves

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Waves that appear from nowhere and disappear without a trace

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The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation

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High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations

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Darboux transformation and rogue wave solutions for the variable-coefficients coupled Hirota equations

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Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: Spin-rotation symmetry, matter-wave solutions, and dynamics

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Q4002235

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A new nonlinear wave equation: Darboux transformation and soliton solutions

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Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation

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Q3925229

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Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation

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The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation

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Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line

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Q4828547

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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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Explicit quasi-periodic solutions of the Kaup-Newell hierarchy

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\(N\)-soliton and quasi-periodic solutions of the KdV6 equations

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Nonlinear Schrödinger equations and simple Lie algebras

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Derivative nonlinear Schrodinger equations and Hermitian symmetric spaces

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Integrable decompositions of a symmetric matrix Kaup-Newell equation and a symmetric matrix derivative nonlinear Schrödinger equation

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Identifiers

zbMATH Open document ID

1414.35194

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DOI

10.1016/j.aop.2019.02.018

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2418454