Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation
type: Item
instance of: scholarly article
title: Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation
zbMATH Open document ID: 1480.35308
author: Shou-Fu Tian
author: Yuan Li
published in: Communications on Pure and Applied Analysis
publication date: 2022-01-21T00:00:00Z
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 37K15
zbMATH DE Number: 7461709
zbMATH Keywords: nonlocal Hirota equations
zbMATH Keywords: inverse scattering transform
zbMATH Keywords: soliton solutions
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
full work available at URL: cpaa.2021178
OpenAlex ID: W3207985023
cites work: Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
cites work: Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation
cites work: Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
cites work: Q4421698
cites work: The Propagation of Nonlinear Wave Envelopes
cites work: Integrable nonlocal Hirota equations
cites work: Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
cites work: Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
cites work: Exact envelope-soliton solutions of a nonlinear wave equation
cites work: Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
cites work: A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method
cites work: Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations
cites work: Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation
cites work: New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
cites work: Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
cites work: Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
DOI: 10.3934/CPAA.2021178
Recommended article: Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
Recommended article: Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles
Recommended article: Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
Recommended article: Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
Recommended article: Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions
Recommended article: Inverse Scattering Transform and Solitons for Square Matrix Nonlinear Schrödinger Equations
Recommended article: Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
Recommended article: Inverse scattering transform of an extended nonlinear Schrödinger equation with nonzero boundary conditions and its multisoliton solutions
Recommended article: Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions
Recommended article: Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons
description: scientific article; zbMATH DE number 7461709