TY - JOUR
T1 - A semiclassical approximation for the nonstationary two-dimensional nonlinear Schrödinger equation with an external field in polar coordinates
AU - Borisov, A. V.
AU - Trifonov, A. Yu
AU - Shapovalov, Aleksandr Vasilievich
PY - 2006/7/1
Y1 - 2006/7/1
N2 - For the two-dimensional nonlinear Schrödinger equation (NSE) with an external field in polar coordinates, semiclassical solutions asymptotic in small parameter Latin small letter h with stroke, Latin small letter h with stroke → 0, have been constructed. The solutions are constructed in the class of functions which are concentrated in a neighborhood of a closed plane curve and have the form of the one-soliton solution of the one-dimensional NSE in the "fast" variable.
AB - For the two-dimensional nonlinear Schrödinger equation (NSE) with an external field in polar coordinates, semiclassical solutions asymptotic in small parameter Latin small letter h with stroke, Latin small letter h with stroke → 0, have been constructed. The solutions are constructed in the class of functions which are concentrated in a neighborhood of a closed plane curve and have the form of the one-soliton solution of the one-dimensional NSE in the "fast" variable.
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U2 - 10.1007/s11182-006-0169-7
DO - 10.1007/s11182-006-0169-7
M3 - Article
AN - SCOPUS:33845484823
VL - 49
SP - 734
EP - 743
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 7
ER -