Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability
type: Item
instance of: scholarly article
title: Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability
zbMATH Open document ID: 1490.35399
author: Jinbing Chen
author: Dmitry Pelinovsky
author: R. E. White
published in: Physica D
publication date: 2022-02-21T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 37K20
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 7477437
zbMATH Keywords: periodic standing waves
zbMATH Keywords: modulation instability
zbMATH Keywords: rogue waves
describes a project that uses: rogue-waves
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: j.physd.2020.132378
OpenAlex ID: W3005345505
cites work: Water waves, nonlinear Schrödinger equations and their solutions
cites work: Modulation instability: The beginning
cites work: Multi-rogue waves solutions: from the NLS to the KP-I equation
cites work: General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
cites work: Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
cites work: A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation
cites work: Universal Behavior of Modulationally Unstable Media
cites work: The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes
cites work: The stability spectrum for elliptic solutions to the focusing NLS equation
cites work: Integrable turbulence and formation of rogue waves
cites work: Integrable turbulence generated from modulational instability of cnoidal waves
cites work: Characterizing JONSWAP rogue waves and their statistics via inverse spectral data
cites work: Rogue periodic waves of the modified KdV equation
cites work: Rogue periodic waves of the focusing nonlinear Schrödinger equation
cites work: Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background
cites work: Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation
cites work: Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation
cites work: Nonlinearizations of spectral problems of the nonlinear Schrödinger equation and the real-valued modified Korteweg–de Vries equation
cites work: Finite‐Dimensional Integrable Hamiltonian Systems Related to the Nonlinear Schrödinger Equation
cites work: Q3352574
cites work: On improving the effectiveness of periodic solutions of the NLS and DNLS equations
cites work: Q3579593
DOI: 10.1016/J.PHYSD.2020.132378
description: scientific article; zbMATH DE number 7477437