We present a series of chirp-free and chirped analytical nonautonomous soliton solutions to the generalized nonlinear Schrödinger equation with distributed coefficients by Darboux transformation from a trivial seed. For a chirp-free nonautonomous soliton, the dispersion management term can change the motion of a nonautonomous soliton and does not affect its shape at all. Specifically, the classical optical soliton can be presented with a variable dispersion term and nonlinearity when there is no gain. For a chirped nonautonomous soliton, dispersion management can meanwhile affect the shape and motion of nonautonomous solitons. The periodic dispersion term can be used to control its “breathing” shape, and it does not affect the trajectory of a nonautonomous soliton center with a certain condition.
© 2011 Optical Society of America
Original Manuscript: August 31, 2010
Manuscript Accepted: November 5, 2010
Published: January 10, 2011
Zhan-Ying Yang, Li-Chen Zhao, Tao Zhang, and Rui-Hong Yue, "Bright chirp-free and chirped nonautonomous solitons under dispersion and nonlinearity management," J. Opt. Soc. Am. B 28, 236-240 (2011)