Abstract
We analyze linear and nonlinear propagation in negative index materials by starting from a dispersion relation and by deriving the underlying partial differential equations (PDEs). Transfer function for propagation is also derived in spatial frequency domain. Using existing numerical methods, based on fast Fourier-Bessel transforms, we study the stability of the solitary wave solutions. Nonlinearity and dispersion management are then incorporated to find stable solutions of the underlying PDEs.
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