Soliton generation and stability in the discrete left-handed electrical network

This work investigates the dynamics of modulated waves in a discrete two dimensional coupled Left-Handed nonlinear transmission line. Using a reductive perturbation method we demonstrate that a two-dimensional non-linear Schrodinger equation (2-D NLSE) is obtained for this model. Analytical soliton solutions are found, and the stability of the system is studied. Numerical simulations are performed in order to verify the conformity of the analytical analysis.