Exact wave solutions for Bose–Einstein condensates with time-dependent scattering length and spatiotemporal complicated potential

DOI10.1063/1.4803458zbMath1282.81078OpenAlexW2021315537MaRDI QIDQ5402261

Wu-Ming Liu, Emmanuel Kengne, Rémi Vaillancourt, Ahmed Lakhssassi

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4803458

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) (2)-body potential quantum scattering theory (81U05) Dispersion theory, dispersion relations arising in quantum theory (81U30) Soliton solutions (35C08)

Related Items (2)

Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation ⋮ Non-autonomous solitons in inhomogeneous nonlinear media with distributed dispersion

Cites Work

• Superposition in nonlinear wave and evolution equations
• Structure of a quantized vortex in boson systems
• Explicit solutions to an effective Gross–Pitaevskii equation: One-dimensional Bose–Einstein condensate in specific traps
• MODULATIONAL INSTABILITY AND EXACT SOLITON AND PERIODIC SOLUTIONS FOR TWO WEAKLY COUPLED EFFECTIVELY 1D CONDENSATES TRAPPED IN A DOUBLE-WELL POTENTIAL

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