Abstract This paper analyses bright and dark spatial self-similar waves propagation and collision in graded-index nonlinear waveguide amplifiers with self-focusing and self-defocusing Kerr nonlinearities. It finds an appropriate transformation for the first time such that the nonlinear Schrödinger equation (NLSE) with varying coefficients transform into standard NLSE. It obtains one-solitonlike, two-solitonlike and multi-solitonlike self-similar wave solutions by using the transformation. Furthermore, it analyses the features of the self-similar waves and their collisions.
Received: 04 April 2007
Revised: 24 September 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10575087), the Natural
Science Foundation of
Zhejiang Province, China (Grant No Y605056).
Cite this article:
Li Hua-Mei(李画眉) Exact self-similar solitary waves and collisions in nonlinear optical media 2008 Chin. Phys. B 17 759
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