Dark compactons in nonlinear Schrödinger Lattices with strong nonlinearity management

The existence of dark compacton solution of discrete nonlinear Schrödinger (DNLS) equation with strong nonlinearity management (SNLM) is investigated. The stability analysis was carry out using standard linearization stability procedure.Even though the stability regime is not so wide but evident...

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Bibliographic Details
Main Authors: Abdul Hadi, Muhammad Salihi, Umarov, Bakhram A., Abdullaev, Fatkhulla Kh., M, Salerno
Format: Conference or Workshop Item
Language:English
English
English
Published: Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia 2016
Subjects:
Online Access:http://irep.iium.edu.my/51974/
http://irep.iium.edu.my/51974/
http://irep.iium.edu.my/51974/7/51974-new.pdf
http://irep.iium.edu.my/51974/13/51974_dark%20compactons_scopus.pdf
http://irep.iium.edu.my/51974/18/51974_Dark%20compactons%20in%20nonlinear%20Schr%C3%B6dinger%20Lattices_WoS.pdf
Description
Summary:The existence of dark compacton solution of discrete nonlinear Schrödinger (DNLS) equation with strong nonlinearity management (SNLM) is investigated. The stability analysis was carry out using standard linearization stability procedure.Even though the stability regime is not so wide but evidently some stable dark compactons can exist in the SNLM DNLS system. Surprisingly, even within the confirmed stability regime from the analysis, the time evolution of the dark compacton solution exhibits small bounded ripples.