Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 734-743 |
| Number of pages | 10 |
| Journal | Russian Physics Journal |
| Volume | 49 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2006 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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A semiclassical approximation for the nonstationary two-dimensional nonlinear Schrödinger equation with an external field in polar coordinates. / Borisov, A. V.; Trifonov, A. Yu; Shapovalov, Aleksandr Vasilievich.
In: Russian Physics Journal, Vol. 49, No. 7, 01.07.2006, p. 734-743.Research output: Contribution to journal › Article
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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.
UR - http://www.scopus.com/inward/record.url?scp=33845484823&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33845484823&partnerID=8YFLogxK
U2 - 10.1007/s11182-006-0169-7
DO - 10.1007/s11182-006-0169-7
M3 - Article
VL - 49
SP - 734
EP - 743
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 7
ER -