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Remarks on the singularity of the nonlinear Schrödinger equation: The hydrodynamical approach

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Publication:1281271
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zbMath0919.35127MaRDI QIDQ1281271

Chi-Kun Lin

Publication date: 22 March 1999

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)


zbMATH Keywords

focusingdefocusinghydrodynamics formulationquantum hydrodynamical equationssingularity of the nonlinear Schrödinger equation


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Analyticity in context of PDEs (35A20) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)


Related Items (3)

Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons ⋮ On the semiclassical limit of the general modified NLS equation ⋮ The behaviour of solutions of NLS equation of derivative type in the semiclassical limit




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