Darboux Transformation for the Hirota Equation
DOI:
https://doi.org/10.15407/mag18.01.136Анотація
Рівняння Хіроти є інтегровним нелінійним рівнянням вищого порядку типу Шредінгера, яке описує поширення ультракоротких світлових імпульсів в оптичних волокнах. Ми представляємо стандартне перетворення Дарбу для рівняння Хіроти, а потім будуємо його квазідетермінантні розв'язки. В якості прикладів наведено мультисолітонні і бризерні розв'язки та розв'язки у вигляді поодиноких хвиль для рівняння Хіроти в явному вигляді.
Mathematics Subject Classification: 35C08, 35Q55, 37K10
Ключові слова:
рівняння Хіроти, перетворення Дарбу, квазідетермінантні розв'язки, мультисолітонні розв'язки, розв'язки у вигляді поодиноких хвильПосилання
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