Ground State Solutions of the Complex Gross Pitaevskii Equation

DOI10.1007/978-1-4939-9806-7_9zbMath1442.81067OpenAlexW2988048299MaRDI QIDQ5115061

Slim Ibrahim

Publication date: 29 June 2020

Published in: Nonlinear Dispersive Partial Differential Equations and Inverse Scattering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-9806-7_9

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Quantum optics (81V80) Statistical mechanics of semiconductors (82D37) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Bosonic systems in quantum theory (81V73)

Cites Work

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• Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability
• Quantum fluid properties of polaritons in semiconductor microcavities
• Symmetrization Inequalities for Composition Operators of Carathéodory type
• On the Variational Approach to the Stability of Standing Waves for the Nonlinear Schrödinger Equation

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