Step-Initial Function to the MKdV Equation: Hyper-Elliptic Long-Time Asymptotics of the Solution
The modified Korteveg{de Vries equation on the line is considered. The initial function is a discontinuous and piece-wise constant step function, i.e. q(x, 0) = cr for x ≥ 0 and q(x, 0) = cl for x < 0, where cl, cr are real numbers which satisfy cl > cr > 0. The goal of this paper is to stu...
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| Date: | 2012 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106707 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Step-Initial Function to the MKdV Equation: Hyper-Elliptic Long-Time Asymptotics of the Solution / V. Kotlyarov, A. Minakov // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 1. — С. 38-62. — Бібліогр.: 49 назв. — англ. |