The existence and stability of solitons in discrete nonlinear Schrödinger equationsTools Syafwan, Mahdhivan (2012) The existence and stability of solitons in discrete nonlinear Schrödinger equations. PhD thesis, University of Nottingham.
AbstractIn this thesis, we investigate analytically and numerically the existence and stability of discrete solitons governed by discrete nonlinear Schrödinger (DNLS) equations with two types of nonlinearity, i.e., cubic and saturable nonlinearities. In the cubictype model we consider stationary discrete solitons under the effect of parametric driving and combined parametric driving and damping, while in the saturabletype model we examine travelling lattice solitons.
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