An analytical solitary wave solution to the generalized nonlinear Schrödinger equation (NLSE) with varying coefficients in Bessel optical lattices is obtained based on the self-similar method. Our results indicate that a new family of Bessel (BSL) self-similar spatial solitons can be formed in the Kerr nonlinear media in the confined cylindrical symmetric geometry in sizes. These soliton profiles are rather stable, independent of propagation distance.
© 2009 Optical Society of America
Original Manuscript: June 2, 2009
Revised Manuscript: November 2, 2009
Manuscript Accepted: November 3, 2009
Published: December 24, 2009
Siliu Xu, Jianchu Liang, and Lin Yi, "Self-similar solitary waves in Bessel optical lattices," J. Opt. Soc. Am. B 27, 99-106 (2010)