Точные решения и нелинейная неустойчивость реакционно-диффузионных систем уравнений с запаздыванием
Опубликовано: 01.10.2013
Авторы: Полянин А.Д.
Опубликовано в выпуске: #4(16)/2013
DOI: 10.18698/2308-6033-2013-4-662
Раздел: Фундаментальные науки | Рубрика: Математика
В статье рассмотрен широкий класс нелинейных реакционно-диффузионных систем уравнений с запаздыванием. Получены многопараметрические точные решения с обобщенным разделением переменных, содержащие произвольное число произвольных постоянных. Приведено решение, описывающие нелинейное взаимодействие стоячей волны с бегущей волной. Определена область неустойчивости решений системы с запаздыванием.
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