Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method (Q6141820)

scientific article; zbMATH DE number 7781115

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English	Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method	scientific article; zbMATH DE number 7781115

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instance of

scholarly article

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title

Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method (English)

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Mathematical Methods in the Applied Sciences

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publication date

20 December 2023

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full work available at URL

https://arxiv.org/abs/2103.14296

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zbMATH Keywords

nonlinear Schrödinger equation

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inverse scattering transform

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rogue wave solutions

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Riemann-Hilbert problem

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MaRDI profile type

MaRDI publication profile

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cites work

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Symmetries and differential equations

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Painlevé-type asymptotics of an extended modified KdV equation in transition regions

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

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Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions

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\(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm

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Multiple-high-order pole solutions for the NLS equation with quartic terms

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Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

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Construction of solutions of the sine-Gordon equation by means of Fredholm determinants

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The algebraic representation for high order solution of Sasa-Satsuma equation

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High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem

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Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation

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Asymptotic analysis of high-order solitons for the Hirota equation

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The bound-state soliton solutions of the complex modified KdV equation

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Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole

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The regularity of the multiple higher‐order poles solitons of the NLS equation

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Water waves, nonlinear Schrödinger equations and their solutions

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Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation

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Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations

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Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems

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Generalized Darboux transformation and localized waves in coupled Hirota equations

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General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis

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Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles

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A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation

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The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves

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The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons

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Inverse scattering transformation for generalized nonlinear Schrödinger equation

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Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach

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Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients

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Breather-to-soliton transitions and nonlinear wave interactions for the nonlinear Schrödinger equation with the sextic operators in optical fibers

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Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber

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Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation

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Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber

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Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

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Direct and inverse scattering on the line with arbitrary singularities

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Direct and inverse scattering transforms with arbitrary spectral singularities

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Identifiers

zbMATH Open document ID

1529.35477

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arXiv ID

2103.14296

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6141820