On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves

dc.contributor.author	Andreiev, K.
dc.contributor.author	Egorova, I.
dc.date.accessioned	2018-07-10T20:19:55Z
dc.date.available	2018-07-10T20:19:55Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.other	DOI: doi.org/10.15407/mag13.04.325
dc.identifier.other	Mathematics Subject Classification 2000: 37K40, 35Q53, 35Q15
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/140579
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA