The existence and stability of solitons in discrete nonlinear Schrödinger equations
Syafwan, Mahdhivan (2012) The existence and stability of solitons in discrete nonlinear Schrödinger equations. PhD thesis, University of Nottingham.
In 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 cubic-type model we consider stationary discrete solitons under the effect of parametric driving and combined parametric driving and damping, while in the saturable-type model we examine travelling lattice solitons.
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