Conservation laws for the nonlinear Schrödinger equation

DOI10.1016/S0294-1449(16)30412-7zbMath0585.35080OpenAlexW2595209063MaRDI QIDQ1071181

Eugene Gutkin

Publication date: 1985

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1985__2_1_67_0

zbMATH Keywords

conservation lawsquantum nonlinear Schrödinger equation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Constructive quantum field theory (81T08) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Quantum nonlinear Schrödinger equation and its classical counterpart ⋮ Higher conservation laws for the quantum nonlinear Schrödinger equation ⋮ Periodic integrable systems with delta-potentials ⋮ Quantization of the Kadomtsev-Petviashvili equation ⋮ Quantum nonlinear Schrödinger equation. II. Explicit solution ⋮ Dynamics of Solitons in High-Order Nonlinear Schrödinger Equations in Fiber Optics ⋮ Quantum nonlinear Schrödinger equation. I: Intertwining operators

Cites Work

• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

This page was built for publication: Conservation laws for the nonlinear Schrödinger equation