Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)
Dark Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
Abdul Hadi, M. S., Umarov, B., Abdullaev, F., and Salerno, M.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
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.
Keywords: Dark compactons, discrete nonlinear Schrödinger equation, strong nonlinearity management
