A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential
type: Item
instance of: scholarly article
title: A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential
zbMATH Open document ID: 1451.35189
author: Li Li
author: Chaonan Duan
author: Fa-Jun Yu
published in: Applied Mathematics Letters
publication date: 2020-10-08T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 82C10
zbMATH DE Number: 7258376
zbMATH Keywords: nonlocal Gross-Pitaevskii equation
zbMATH Keywords: Hirota bilinear method
zbMATH Keywords: bright soliton solution
zbMATH Keywords: time-dependent linear potential
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106584
OpenAlex ID: W3035377745
cites work: Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
cites work: Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
cites work: Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation
cites work: Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation
cites work: A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations
cites work: Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential
cites work: Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials
cites work: Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations
cites work: Inverse scattering transformation and soliton stability for a nonlinear Gross-Pitaevskii equation with external potentials
cites work: Soliton molecules and novel smooth positons for the complex modified KdV equation
cites work: A novel non-isospectral hierarchy and soliton wave dynamics for a parity-time-symmetric nonlocal vector nonlinear Gross-Pitaevskii equations
cites work: Nonstandard bilinearization of \(\mathcal{PT}\)-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions
cites work: Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system
cites work: Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation
DOI: 10.1016/J.AML.2020.106584
description: scientific article; zbMATH DE number 7258376