Self-similarity analysis of the nonlinear Schrödinger equation in the Madelung form
DOI10.1155/2018/7087295zbMath1406.35344arXiv1804.06274OpenAlexW2963316900MaRDI QIDQ1629280
Mihály A. Pocsai, Imre F. Barna, László Mátyás
Publication date: 11 December 2018
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06274
nonlinear Schrödinger equationGross-Pitaevskii equationMadelung transformationhydrodynamic Euler equation
NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Self-similar solutions to PDEs (35C06) Time-dependent Schrödinger equations and Dirac equations (35Q41) Euler equations (35Q31)
Uses Software
Cites Work
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