Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Author: search.filters.author.Lin, Chi-KunDepartment: search.filters.department.İzmir Institute of Technology. Mathematics

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  • Article
    Citation - WoS: 43
    Citation - Scopus: 43
    Shock Waves, Chiral Solitons and Semiclassical Limit of One-Dimensional Anyons
    (Elsevier Ltd., 2004) Lee, Jyh Hao; Lin, Chi-Kun; Pashaev, Oktay
    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.