Exactly controllable transmission of nonautonomous optical solitons

Properties of the temporal–spatial interference pattern during soliton interaction

“…Since Zabusky and Kruskal introduced the concept of soliton at the first time in 1965 [1], studies on dynamics of soliton have been done in many fields, including hydrodynamics [2,3], quantum field theory [2], plasma physics [4], nonlinear optics [5][6][7][8][9], and Bose-Einstein condensate(BEC) [10][11][12][13]. Nowadays, it is well known that solitons collide elastically, and there are some phase shift appearing after the collision [14][15][16][17][18], which demonstrate the particle-like properties of soliton.…”

Bright chirp-free and chirped nonautonomous solitons under dispersion and nonlinearity management

“…To get an analytical solution of the INLS equation, there should be some constrains (integrable conditions) on the coupling parameters [4,[8][9][10][11][12][13]. These conditions show a subtle balance among the dispersion term, gain(loss) and nonlinearity, which has a profound implication to control the soliton's dynamics.…”

“…since then, how to control exactly the soliton's dynamics by dispersion and nonlinearity management with gain term becomes an issue worth considering. Luo et al have presented some ways to manage them [4]. Here, we propose a direct way to control the soliton's dynamics by tuning the related controllable parameters.…”

“…However, it is very difficult to realize ideal optical soliton communication due to fiber loss. The dissipation would weaken the nonlinearity and finally the optical soliton would broaden and lose its signal [4]. There are two ways to overcome these inferiors.…”

Nonautonomous Solitons: Applications from Nonlinear Optics to BEC and Hydrodynamics

“…The law of soliton adaptation to an external potential has come as a surprise and this law is being today the object of much concentrated attention in the field. The interested reader can find many important results and citations, for example, in the papers published recently by Zhao et al Luo et al, 2009;Zhao et al, 2009;2008), Shin (Shin, 2008) and (Kharif et al, 2009;Porsezian et al, 2007;Yan, 2010). How can we determine whether a given nonlinear evolution equation is integrable or not?…”