TY - JOUR
T1 - Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons
AU - Lee, Jyh Hao
AU - Lin, Chi Kun
AU - Pashaev, Oktay K.
N1 - Funding Information:
The authors would like to thank Prof. Jackiw for stimulating conversation. J.H. Lee and C.K. Lins’ works are partial supported by the National Science Council of Taiwan under the grants NSC 91-2115-M-001-011, NSC 91-2115-M-006-015 respectively. O.K. Pashaev acknowledges the partial support from Institute of Mathematics, Academia Sinica, Taiwan and Izmir Institute of Technology, Turkey Grant IYTE-2002-24.
PY - 2004/1
Y1 - 2004/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0038788971&partnerID=8YFLogxK
U2 - 10.1016/S0960-0779(03)00084-5
DO - 10.1016/S0960-0779(03)00084-5
M3 - Article
AN - SCOPUS:0038788971
SN - 0960-0779
VL - 19
SP - 109
EP - 128
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 1
ER -