Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/1891
Title: | Shock Waves, Chiral Solitons and Semiclassical Limit of One-Dimensional Anyons |
Authors: | Lee, Jyh Hao Lin, Chi-Kun Pashaev, Oktay |
Keywords: | Shock waves Anyons Deformation Perturbation techniques |
Publisher: | Elsevier Ltd. |
Source: | Lee, J. H., Lin, C.-K., and Pashaev, O. (2004). Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons. Chaos, Solitons and Fractals, 19(1), 109-128. doi:10.1016/S0960-0779(03)00084-5 |
Abstract: | This paper is devoted to the semiclassical limit of the one-dimensional Schrödinger equation with current nonlinearity and Sobolev regularity, before shocks appear in the limit system. In this limit, the modified Euler equations are recovered. The strictly hyperbolicity and genuine nonlinearity are proved for the limit system wherever the Riemann invariants remain distinct. The dispersionless equation and its deformation which is the quantum potential perturbation of JNLS equation are also derived. |
URI: | http://doi.org/10.1016/S0960-0779(03)00084-5 http://hdl.handle.net/11147/1891 |
ISSN: | 0960-0779 0960-0779 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Show full item record
CORE Recommender
Sorry the service is unavailable at the moment. Please try again later.
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.