Soliton collision in discrete PT-symmetric systems without Peierls-Nabarro potential

Abstract

Рассматривается дискретная модель, описывающая си-стему волноводов с притоком и оттоком энергии, допу-скающая точные решения в виде волн солитонного типа. Показано существование солитонов двух типов -высо-кочастотного и низкочастотного и исследована дина-мика взаимодействия солитонов как одного типа, так и разных типов. Установлено, что солитоны одного типа взаимодействуют абсолютно упруго, в то время как ре-зультат взаимодействия солитонов разного типа суще-ственно зависит от начальных условий.Ключевые слова: PT -симметричные системы, солитон, PT -симметричный каплер, нелинейное уравнение Шрединге-ра, потенциал Паейрлса-Набарро.Discrete model describing a waveguide array with energy gain and loss that admits exact solitary wave solutions was considered. Existence of two types of solitons, namely, the high-frequency and the low-frequency ones was demonstrated. Collisions between similar and dissimilar solitons were investigated. It was found that solitons of the same type interact elastically, while for dissimilar solitons the collision outcome significantly depends on the initial conditions.

Nonlinear switching and solitons in PT‐symmetric photonic systems

“…Interestingly, a discrete model describing a waveguide array with energy gain and loss that admits exact solitary wave solutions has been found [124]. Existence of the highfrequency and the low-frequency solitons was demonstrated.…”

“…Continuum versions of such models have been analyzed in the works [121][122][123]. In other cases soliton dynamics is investigated in the two-core systems such as an array of coupled PT-symmetric dimers [65,124] and its continuum version in the form of coupled planar waveguides with gain in one of them and balanced loss in another [59,125]. Two-dimensional generalization of such models was studied in [126].…”