On the Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data Associated with Rarefaction Waves
DOI:
https://doi.org/10.15407/mag13.04.325Анотація
Ми обговорюємо асимптотичну поведiнку хвилi розрiдження для рiвняння КдФ в областi позаду заднього фронту хвилi. Перший та другий члени асимптотичного розвинення за часом для такого розв'язку було отримано без детального аналiзу в [1]. У данiй роботi ми уточнюємо формулу для другого члена, дослiджуючи вiдповiдну задачу параметриксу. Ми також обговорюємо вплив резонансу на асимптотичну поведiнку розв'язку.
Mathematics Subject Classification: 37K40, 35Q53, 35Q15.
Ключові слова:
рівняння КдФ, хвиля розрідження, задача параметріксаПосилання
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