Quantum nonlinear Schrödinger equation and its classical counterpart

DOI10.1016/0167-2789(86)90203-4zbMath0596.35026OpenAlexW2022728217MaRDI QIDQ1078399

Eugene Gutkin

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90203-4

zbMATH Keywords

inverse scattering transformquantum nonlinear Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Quantum nonlinear Schrödinger equation. II. Explicit solution
• Conservation laws for the nonlinear Schrödinger equation
• Corner transfer matrices and Lorentz invariance on a lattice
• On the complete integrability of a nonlinear Schrödinger equation
• Quantum nonlinear Schrödinger equation. I: Intertwining operators
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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