Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation (Q6153435)

scientific article; zbMATH DE number 7820015

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English	Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation	scientific article; zbMATH DE number 7820015

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instance of

scholarly article

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title

Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation (English)

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Qualitative Theory of Dynamical Systems

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publication date

19 March 2024

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full work available at URL

https://arxiv.org/abs/2111.14134

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zbMATH Keywords

Riemann-Hilbert approach

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communication phenomenon

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characteristic line analysis

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MaRDI profile type

MaRDI publication profile

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cites work

Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

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

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Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform

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Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation

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Integrable Nonlocal Nonlinear Equations

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Method for Solving the Korteweg-deVries Equation

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Nonlinear-Evolution Equations of Physical Significance

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method

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On the Variational Approach for Analyzing the Stability of Solutions of Evolution Equations

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Scattering and inverse scattering for first order systems

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Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II

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The Riemann–Hilbert Problem and Inverse Scattering

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Riemann–Hilbert problems and N-soliton solutions of the nonlocal reverse space-time Chen–Lee–Liu equation

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\(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP

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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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Integrable properties of the general coupled nonlinear Schrödinger equations

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The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method

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Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

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Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation

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

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Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method

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Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system

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General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations

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Higher-Order Solitons in the N-Wave System

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Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation

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An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line

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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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Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies

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The <i>N</i>‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

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Inverse scattering transform and soliton classification of higher-order nonlinear Schrödinger-Maxwell-Bloch equations

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\(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach

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General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations

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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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Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations

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Transformations between Nonlocal and Local Integrable Equations

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Nonlinear Waves in Integrable and Nonintegrable Systems

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High-dimensional nonlinear wave transitions and their mechanisms

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

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Identifiers

arXiv ID

2111.14134

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Mathematics Subject Classification ID

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10.1007/S12346-024-00974-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6153435