The extended first integral method is used to study the complete propagation characteristics of nonlinear surface plasmon polaritons in a multilayer slab waveguide. The method has an advantage of simultaneously obtaining dispersion relation as well as field profile of the propagating mode in the guiding structure. The dispersion characteristics have been found to depend on the input field intensity. Soliton - like nature for the electric field in the focussing nonlinear medium has been found to enhance the propagation length of the wave propagating through the waveguide.
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