On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves
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| Creator |
Andreiev, K.
Egorova, I. |
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| Description |
We discuss an asymptotical behavior of the rarefaction wave for the KdV equation in the region behind the wave front. The first and the second terms of the asymptotical expansion for such a solution with respect to large time were derived without detailed analysis in [1]. In the present work, we correct the formula for the second term by investigating the corresponding parametrix problem. We also study an in uence of the resonance on the asymptotical behavior of the solution.
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| Date |
2018-07-10T20:19:55Z
2018-07-10T20:19:55Z 2017 |
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| Type |
Article
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| Identifier |
On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves / K. Andreiev, I. Egorova // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 4. — С. 325-343. — Бібліогр.: 15 назв. — англ.
1812-9471 DOI: doi.org/10.15407/mag13.04.325 Mathematics Subject Classification 2000: 37K40, 35Q53, 35Q15 http://dspace.nbuv.gov.ua/handle/123456789/140579 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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