Similaritons in nonlinear optical systems
Tianmu College, Zhejiang Forestry University, 311300, Lin'an, China
2 Department of Physics, School of Physical, Chemical and Applied Sciences, Pondicherry University, 605014 Pondicherry, India
By using the lens-type transformation, we find the self-similar evolution of four kinds of optical similaritons in (1+1)-dimensional nonlinear Schrödinger equations. They are the exact solitonic similaritons, quasi solitonic similaritons, asymptotic compact parabolic similaritons and asymptotic Hermite-Gaussian similaritons. Moreover, the interaction of multiple solitonic similaritons are investigated. Approximate but highly accurate analytical methods are developed to describe their center-of-mass motion.
© EDP Sciences, Springer-Verlag, 2009