Resonant generation and refraction of dispersive shock waves in one-dimensional nonlinear Schrödinger flows

In the Thesis, two important theoretical problems arising in the theory of one-dimensional defocusing nonlinear Schrödinger (NLS) flows are investigated analytically and numerically: (i) the resonant generation of dispersive shock waves (DSWs) in one-dimensional NLS flow past a broad repulsive penet...

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Bibliographic Details

Main Author:	Antin M. Leszczyszyn
Format:	Default Thesis
Published:	2011
Subjects:	Other mathematical sciences not elsewhere classified Wave breaking Dispersive hydrodynamics Dispersive shock wave Rarefaction wave Soliton Nonlinear modulations Whitham equations Riemann invariants Gurevich-Pitaevskii problem Bose-Einstein condensate Photorefractive optical media Nonlinear wave interactions Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/9233
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