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On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves
Репозиторій DSpace/Manakin
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On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves
Інший ID:
DOI: doi.org/10.15407/mag13.04.325
Mathematics Subject Classification 2000: 37K40, 35Q53, 35Q15
Mathematics Subject Classification 2000: 37K40, 35Q53, 35Q15
Посилання:
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.
Дата:
2017
Переглядів:
594
Завантажень:
483
Анотація:
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.
