Wave in Nonlinear Transmission Lattice

In this project we will explore solutions in the transmission line or lattice analogue of a nonlinear left handed metamaterial. The nonlinearity is expressed by a voltage dependent. We will develop both the corresponding nonlinear dynamical lattice, as well as its reduction via a multiple scales expansion to nonlinear Schrodinger (NLS) models for the envelope of a given carrier wave. We then consider the robustness of different types of solitary waves of...