Eur. Phys. J. D 59, 457-461 (2010)
https://doi.org/10.1140/epjd/e2010-00193-5

Self-similar optical beam in nonlinear waveguides

¹ School of Physical Science and Technology, Suzhou University, Suzhou, Jiangsu, 215006, P.R. China
² School of Sciences, Zhejiang A&F University, Lin'an, Zhejiang, 311300, P.R. China
³ School of Engineering, Zhejiang A&F University, Lin'an, Zhejiang, 311300, P.R. China

Corresponding authors: ^a dcq424@126.com - ^b szhu@suda.edu.cn

Received: 20 April 2010
Revised: 7 June 2010
Published online: 27 July 2010

Abstract

By means of the similarity transformation, we obtain exact bright and dark similariton-pair solutions in nonlinear waveguides for the generalized nonlinear Schrödinger equation exhibiting spatial inhomogeneity, inhomogeneous nonlinearity and gain or loss at the same time. Then we investigate the interaction behaviors of these solitonic similaritons in a periodic distributed amplification system.