Standing lattice solitons in the discrete NLS equation with saturation

Autor:	Alfimov, G. L., Korobeinikov, A. S., Lustri, C. J., Pelinovsky, D. E.
Rok vydání:	2018
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Mathematical Physics Mathematics - Classical Analysis and ODEs Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6544/ab1294
Popis:	We consider standing lattice solitons for discrete nonlinear Schrodinger equation with saturation (NLSS), where so-called transparent points were recently discovered. These transparent points are the values of the governing parameter (e.g., the lattice spacing) for which the Peierls-Nabarro barrier vanishes. In order to explain the existence of transparent points, we study a solitary wave solution in the continuous NLSS and analyse the singularities of its analytic continuation in the complex plane. The existence of a quadruplet of logarithmic singularities nearest to the real axis is proven and applied to two settings: (i) the fourth-order differential equation arising as the next-order continuum approximation of the discrete NLSS and (ii) the advance-delay version of the discrete NLSS. Comment: 38 pages, 12 figures, 2 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.10828 Zobrazit plný text záznamu View this record from Arxiv