Применение метода Хироты для нелинейных уравнений Шредингера высших порядков

Метод Хироты применяется для поиска солитонных решений нелинейных уравнений Шредингера высших порядков. Подробно изучаются уравнения четвертого и шестого порядков из иерархии нелинейного уравнения Шредингера. Частные производные выражаются через оператор Хироты, а уравнения высших порядков преобразуются к билинейной форме, которая приводится к системе из двух уравнений. Найдены одно-, двух- и трехсолитонные решения уравнений из иерархии нелинейного уравнения Шредингера

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