Abstract
With the help of the similarity transformation and the solvable stationary nonlinear Schrodinger equation (NLSE), we obtain exact chirped and chirp-free self-similar cnoidal wave and solitary wave solutions of the generalized NLSE exhibiting spatial inhomogeneity, inhomogeneous nonlinearity and gain or loss at the same time. As an example, we investigate their propagation dynamics in a nonlinear optical system, and present a series of interesting properties of optical waves.
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