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Long-Time Asymptotics for the Integrable Nonlocal Focusing Nonlinear Schrödinger Equation for a Family of Step-Like Initial Data

Communications in mathematical physics, 2021-02, Vol.382 (1), p.87-121

2021

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The Focusing NLS Equation with Step-Like Oscillating Background: Scenarios of Long-Time Asymptotics

Communications in mathematical physics, 2021-04, Vol.383 (2), p.893-952

2021

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A Riemann–Hilbert approach to the modified Camassa–Holm equation with step-like boundary conditions

Monatshefte für Mathematik, 2023-05, Vol.201 (1), p.127-172

2023

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The Focusing NLS Equation with Step-Like Oscillating Background: The Genus 3 Sector

Communications in mathematical physics, 2022-03, Vol.390 (3), p.1081-1148

2022

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A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation

Frontiers in applied mathematics and statistics, 2024-08, Vol.10

2024

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The short pulse equation by a Riemann–Hilbert approach

Letters in mathematical physics, 2017-07, Vol.107 (7), p.1345-1373

2017

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A Riemann-Hilbert approach for the Degasperis-Procesi equation

Nonlinearity, 2013-07, Vol.26 (7), p.2081-2107

2013

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Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

Journal of mathematical physics, 2019-03, Vol.60 (3)

2019

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

Journal of Differential Equations, 2021-01, Vol.270, p.694-724

2021

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Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation

Physica. D, 2021-12, Vol.428, p.133060, Article 133060

2021

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The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation

Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, 2017, Vol.37 (1), p.167

2017

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Global conservative solutions of the nonlocal NLS equation beyond blow-up

Discrete and continuous dynamical systems. Series A, 2023-02, Vol.43 (2), p.860-894

2023

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

Studies in applied mathematics (Cambridge), 2021-10, Vol.147 (3), p.872-903

2021

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Integrable nonlinear evolution equations on a finite interval

Communications in mathematical physics, 2006-04, Vol.263 (1), p.133-172

2006

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Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2024-03, Vol.480 (2286)

2024

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Defocusing Nonlocal Nonlinear Schrödinger Equation with Step-like Boundary Conditions: Long-time Behavior for Shifted Initial Data

Journal of mathematical physics, analysis, geometry, 2020-01, Vol.16 (4), p.418-453

2020

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Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2013-01, Vol.469 (2149), p.20120199-20120199

2013

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Channel model and the achievable information rates of the optical nonlinear frequency division-multiplexed systems employing continuous b-modulation

Optics express, 2021-03, Vol.29 (5), p.6384-6406

2021

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The Ostrovsky-Vakhnenko equation by a Riemann-Hilbert approach

Journal of physics. A, Mathematical and theoretical, 2015-01, Vol.48 (3), p.35204-34

2015

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Finite-Genus Solutions-Based Optical Communication With the Riemann-Hilbert Problem Transmitter and a Convolutional Neural Network Receiver

Journal of lightwave technology, 2024-08, Vol.42 (16), p.5529-5536

2024

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Long-time Asymptotics for the Camassa–Holm Equation

SIAM journal on mathematical analysis, 2009-01, Vol.41 (4), p.1559-1588

2009

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Long-time asymptotics for the Degasperis–Procesi equation on the half-line

Annales de l'Institut Fourier, 2019, Vol.69 (1), p.171-230

2019

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Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks

Communications in nonlinear science & numerical simulation, 2023-10, Vol.125, p.107311, Article 107311

2023

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Nonlinear Fourier Spectrum Characterization of Time-Limited Signals

IEEE transactions on communications, 2020-05, Vol.68 (5), p.3024-3032

2020

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Signal Modulation and Processing in Nonlinear Fibre Channels by Employing the Riemann-Hilbert Problem

Journal of lightwave technology, 2018-12, Vol.36 (24), p.5714-5727

2018

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Long-Time Asymptotics for the Integrable Nonlocal Focusing Nonlinear Schrödinger Equation for a Family of Step-Like Initial Data

The Focusing NLS Equation with Step-Like Oscillating Background: Scenarios of Long-Time Asymptotics

A Riemann–Hilbert approach to the modified Camassa–Holm equation with step-like boundary conditions

The Focusing NLS Equation with Step-Like Oscillating Background: The Genus 3 Sector

A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation

The short pulse equation by a Riemann–Hilbert approach

A Riemann-Hilbert approach for the Degasperis-Procesi equation

Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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

Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation

The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation

Global conservative solutions of the nonlocal NLS equation beyond blow-up

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

Integrable nonlinear evolution equations on a finite interval

Periodic finite-band solutions to the focusing nonlinear Schrödinger equation by the Fokas method: inverse and direct problems

Defocusing Nonlocal Nonlinear Schrödinger Equation with Step-like Boundary Conditions: Long-time Behavior for Shifted Initial Data

Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach

Channel model and the achievable information rates of the optical nonlinear frequency division-multiplexed systems employing continuous b-modulation

The Ostrovsky-Vakhnenko equation by a Riemann-Hilbert approach

Finite-Genus Solutions-Based Optical Communication With the Riemann-Hilbert Problem Transmitter and a Convolutional Neural Network Receiver

Long-time Asymptotics for the Camassa–Holm Equation

Long-time asymptotics for the Degasperis–Procesi equation on the half-line

Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks

Nonlinear Fourier Spectrum Characterization of Time-Limited Signals

Signal Modulation and Processing in Nonlinear Fibre Channels by Employing the Riemann-Hilbert Problem

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