Darboux transformation and analytic solutions of the discrete \PT-symmetric nonlocal nonlinear Schrodinger equation

Autor:	Xu, Tao, Li, Hengji, Zhang, Hongjun, Li, Min, Lan, Sha
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Applied Mathematics Letters 63 (2017) 88-94
Druh dokumentu:	Working Paper
Popis:	In this letter, for the discrete parity-time-symmetric nonlocal nonlinear Schr\"{o}dinger equation, we construct the Darboux transformation, which provides an algebraic iterative algorithm to obtain a series of analytic solutions from a known one. To illustrate, the breathing-soliton solutions, periodic-wave solutions and localized rational soliton solutions are derived with the zero and plane-wave solutions as the seeds. The properties of those solutions are also discussed, and particularly the asymptotic analysis reveals all possible cases of the interaction between the discrete rational dark and antidark solitons. Comment: 9 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1606.08787 Zobrazit plný text záznamu View this record from Arxiv