The inverse problem for the Gross–Pitaevskii equation

DOI10.1063/1.3367776zbMath1311.35294arXiv1003.2701OpenAlexW1982330773WikidataQ51706919 ScholiaQ51706919MaRDI QIDQ5250417

Boris A. Malomed, Yury A. Stepanyants

Publication date: 19 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2701

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (8)

Analytical solutions of nonlinear Schrödinger equation with distributed coefficients ⋮ Bright-dark and dark-dark solitons in coupled nonlinear Schrödinger equation with PT-symmetric potentials ⋮ Solitons supported by competing nonlinearity, higher order dispersion and \(\mathcal{PT}\)-symmetric potential ⋮ A semidiscrete Gardner equation ⋮ Dynamics of analytical three-dimensional matter-wave solutions in Bose-Einstein condensates with multi-body interactions ⋮ Stable vortex clusters in two-dimensional Bose-Einstein condensates with spatially modulated defocusing nonlinearity ⋮ Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates ⋮ Stability band structure for periodic states in periodic potentials

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