Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data (Q6492280)

scientific article; zbMATH DE number 7837892

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English	Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data	scientific article; zbMATH DE number 7837892

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title

Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data (English)

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Letters in Mathematical Physics

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publication date

24 April 2024

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MaRDI profile type

MaRDI publication profile

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cites work

Optical solitons: Perspectives and applications

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Nonlinear evolution equations, rescalings, model PDES and their integrability: I

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The Darboux transformation of the Kundu–Eckhaus equation

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The $n$-fold Darboux transformation for the Kundu-Eckhaus equation and dynamics of the smooth positon solutions

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Long-time asymptotics and the bright $N$-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach

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A $\overline{\partial}$-dressing approach to the Kundu-Eckhaus equation

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Numerical inverse scattering transform for the focusing and defocusing Kundu-Eckhaus equations

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Long-time asymptotics for the Kundu–Eckhaus equation on the half-line

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Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method

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A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line

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

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Long time asymptotics behavior of the focusing nonlinear Kundu-Eckhaus equation

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Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation

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Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu-Eckhaus equations

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Integrable $\mathcal{PT}$-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model

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Nonlocal nonlinear Schrödinger equation and its discrete version: Soliton solutions and gauge equivalence

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Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations

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Integrable Nonlocal Nonlinear Equations

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Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions

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On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions

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Nonlocal KdV equations

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$N$-soliton solutions for the nonlocal Fokas-Lenells equation via RHP

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Complete integrability of nonlocal nonlinear Schrödinger equation

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Dynamics of rogue waves in the partially $\mathcal{PT}$-symmetric nonlocal Davey-Stewartson systems

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Broken and unbroken $\mathcal{PT}$-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation

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Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations

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Transformations between Nonlocal and Local Integrable Equations

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

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Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system

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Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions

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$ \overline{\partial} $-dressing method for the nonlocal mKdV equation

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Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions

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Nonautonomous dynamics of local and nonlocal Fokas–Lenells models

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Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations

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Q5383119

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On a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data

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Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data

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The soliton solutions for the Wadati-Konno-Ichikawa equation

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General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

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Long-Time Asymptotics for the Nonlocal MKdV Equation*

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Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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On a Riemann-Hilbert problem for the Fokas-Lenells equation

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On the Riemann-Hilbert problem of the Kundu equation

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On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

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On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a $4 \times 4$ matrix Lax pair

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The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a $4\times 4$ matrix Lax pair

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Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation

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Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data

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Identifiers

DOI

10.1007/s11005-024-01802-2

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6492280