Embedded solitons in the double sine-Gordon lattice with the next neighbor interactions

Autor:	Zolotaryuk, Yaroslav, Starodub, Ivan O.
Rok vydání:	2018
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons
Zdroj:	Phys. Rev. E 100, 032216 (2019)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.100.032216
Popis:	Topological solitons can propagate without radiation in discrete media. These solutions are known as embedded solitons (ES). They come as isolated solutions and exist despite their resonance with the linear spectrum of the respective lattices. In this paper the properties of embedded solitons in the discrete double sine-Gordon equation with the next-neighbor and second-neighbor interactions are investigated. Depending on the sign of these interactions they can be either destructive or favorable for the ES creation. The ES existence area depends on the width of the linear spectrum: narrowing of the spectrum widens the ES existence range and vice versa. The application to the Josephson junction arrays is discussed. Comment: 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.07856 Zobrazit plný text záznamu View this record from Arxiv