Exact soliton solutions of Gross Pitaevskii equation with a variable shape optical lattice potential
type: Item
instance of: scholarly article
title: Exact soliton solutions of Gross Pitaevskii equation with a variable shape optical lattice potential
author: Z. Oztas
author: E. I. Kaplan
published in: Physics Letters. A
publication date: 2024-12-06T00:00:00Z
Mathematics Subject Classification ID: 81-XX
Mathematics Subject Classification ID: 82-XX
zbMATH DE Number: 7954936
zbMATH Keywords: bright soliton
zbMATH Keywords: dark soliton
zbMATH Keywords: Gross-Pitaevskii equation
zbMATH Keywords: optical lattice
MaRDI profile type: Publication
cites work: Q3569424
cites work: Nonlinear Waves in Integrable and Nonintegrable Systems
cites work: Soliton Management in Periodic Systems
cites work: Analytical traveling-wave solutions to a generalized Gross-Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields
cites work: Stability of matter-wave soliton in a time-dependent complicated trap
cites work: Localized analytical solutions and numerically stabilities of generalized Gross-Pitaevskii (\(\mathrm{GP}(p,q)\)) equation with specific external potentials
cites work: Non-autonomous wave solutions for the Gross-Pitaevskii (GP) equation with a parabola external potential in Bose-Einstein condensates
cites work: Analytical non-autonomous wave solitons for the dispersive cubic-quintic Gross-Pitaevskii equation and the interactions
cites work: Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
cites work: Matter wave soliton solutions for driven Gross-Pitaevskii equation with distributed coefficients
cites work: Quantum simulation of rogue waves in Bose-Einstein condensate: an exact analytical method
cites work: Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate
cites work: Stability of binary condensates with spatial modulations of quintic nonlinearities in optical lattices
cites work: Generation of localized patterns in two-component condensates trapped in variable shape optical lattices
cites work: Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
DOI: 10.1016/J.PHYSLETA.2024.129853
description: scientific article; zbMATH DE number 7954936