Stationary localized states due to nonlinear impurities described by the modified discrete nonlinear Schrödinger equation
Bikash C. Gupta, Sang Bub Lee
Abstract
The modified discrete nonlinear Schrödinger equation is used to study the formation of stationary localized states in a one-dimensional lattice with a single impurity and an asymmetric dimer impurity. A periodically modulated and a perfectly nonlinear chain is also considered. Phase diagrams of localized states for all systems are presented. From the mean square displacement calculation, it is found that all states are not localized even though the system comprises random nonlinear site energies. Stability of the states is discussed.
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