Article ID Journal Published Year Pages File Type
1541577 Optics Communications 2007 7 Pages PDF
Abstract

A broad class of exact self-similar solitary wave solutions to the nonlinear Schro¨dinger equation (NLSE) are found by using the extended mapping deformation method. These novel waves can propagate inside planar, graded-index nonlinear waveguide amplifiers with self-focusing and self-defocusing Kerr nonlinearities, respectively. Furthermore, we analyze the features of the self-similar waves and their evolution. Our results in this paper include some in the literature [S.A. Ponomarenko, G.P. Agrawal, Phys. Rev. Lett. 97 (2006) 013901].

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Physical Sciences and Engineering Materials Science Electronic, Optical and Magnetic Materials
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