Fluid dynamical form of the linear and nonlinear Schrödinger equations

DOI10.1016/0167-2789(80)90015-9zbMath1194.37161OpenAlexW2025446955MaRDI QIDQ994979

Edward A. Spiegel

Publication date: 13 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(80)90015-9

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Boltzmann equations (35Q20)

Related Items (9)

Numerical study of hydrodynamics using the nonlinear Schrödinger equation ⋮ Provable bounds for the Korteweg–de Vries reduction in multi-component nonlinear Schrödinger equation ⋮ Foreign currency exchange rate prediction using non-linear Schrödinger equations with economic fundamental parameters ⋮ Dynamics of a vortex filament in a shear flow ⋮ Hot fluids and nonlinear quantum mechanics ⋮ Free fall in KvN mechanics and Einstein's principle of equivalence ⋮ Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation ⋮ Scaling laws for vortical nucleation solutions in a model of superflow ⋮ Generic inflationary and noninflationary behavior in toy-cosmology

Cites Work

• Variational principles in continuum mechanics
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Unnamed Item
• Unnamed Item

This page was built for publication: Fluid dynamical form of the linear and nonlinear Schrödinger equations