Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials

From MaRDI portal
Publication:1739414

DOI10.1016/j.aml.2019.01.010zbMath1412.35059OpenAlexW2911038919MaRDI QIDQ1739414

Fa-Jun Yu

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.010




Related Items (21)

New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearityCoupled self-similar-traveling optical wave tunneling induced by an injected light beamConstruction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equationNonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equationsSome general bright soliton solutions and interactions for a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation\(N\)-fold Darboux transformation and exact solutions for the nonlocal Fokas-Lenells equation on the vanishing and plane wave backgroundsMulti-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approachDynamics of Controllable Matter-Wave Solitons and Soliton Molecules for a Rabi-Coupled Gross–Pitaevskii Equation with Temporally and Spatially Modulated CoefficientsRiemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equationNew dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potentialIntegrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equationsNon-autonomous wave solutions for the Gross-Pitaevskii (GP) equation with a parabola external potential in Bose-Einstein condensatesDynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equationConsistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equationPerturbation theory for Bose–Einstein condensates on bounded space domainsA generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potentialBreathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space typeBroken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equationStable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effectsDynamics of lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear latticeDiscrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation



Cites Work


This page was built for publication: Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials