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Two-Dimensional Spatiotemporal Soliton Dynamics in the Inhomogeneous Kerr Media
並列摘要
The generalized (2+1)-dimensional nonlinear Schrodinger equation with variable coefficients can be used to describe the optical soliton dynamics and interaction in an inhomogeneous nonlinear Kerr media. Via the Hirota method and symbolic computation, analytic bright one- and two-soliton solutions for such an equation are obtained under restrictive conditions. Based on the one-soliton solutions, soliton dynamics with different choices of the group velocity dispersion coefficient σ(z) and Kerr effect parameter K(z), with z as the coordinate along the propagation direction of the carrier wave, is discussed. The soliton will propagate periodically when σ(z) and K(z) are periodic functions, or stably when σ(z) and K(z) are Gaussian functions. Through a graphic and asymptotic analysis on the two-soliton solutions, several cases of the interactions between the two solitons are illustrated with the results that the total energy of the solitons is conserved, and also the two-soliton patterns remain unchanged before and after the interactions.
並列關鍵字
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