Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons

✍ Scribed by Jyh-Hao Lee; Chi-Kun Lin; Oktay K. Pashaev

• Book ID: 104363380
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 246 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00084-5

✦ Synopsis

This paper is devoted to the semiclassical limit of the one-dimensional Schr€ o odinger 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.