MODULATIONAL STABILITY AND SOLITARY WAVE OF THE SURFACE POLARITON - GENERALIZED NONLINEAR SCHRODINGER-EQUATION

Using a dynamic approach, we prove that the evolution of the nonlinear surface polariton is governed by the generalized nonlinear Schrodinger equation. Self-phase modulation and self-modulational stability via the generalized nonlinear Schrodinger equation are investigated. A solitary-wave solution of the generalized nonlinear Schrodinger equation is obtained. It is shown that the solitary wave does not satisfy the collision properties and thus is not a soliton. The solitary wave possesses the unique property that its width and height can be independently adjusted. The effect of cross-phase modulation on the stability of interacting nonlinear-wave systems is also treated. The self-phase modulational instability is convective and the cross-phase modulational instability can be either convective or absolute.