Weitian Yu

Effect of high-order dispersion on three-soliton interactions for the variable-coefficients Hirota equation

The interactions of multiple solitons show different properties with two-soliton interactions. For the difficulty of deriving multiple soliton solutions, it is rare to study multiple soliton interactions analytically. In this paper, three-soliton interactions in inhomogeneous optical fibers, which are described by the variable coefficient Hirota equation, are investigated. Via the Hirota bilinear method and symbolic computation, analytic three-soliton solutions are obtained. According to the obtained solutions, properties and features of three-soliton interactions are discussed by changing the third-order dispersion (TOD) and other relevant coefficients, and some plentiful structure of three-soliton interactions are presented for the first time. The influences of TOD on the intensity and propagation distance of solitons are described, which can be used to realize the soliton control. Besides, the method that can achieve the phase reverse of solitons is suggested, and bound states of three solitons are observed, which have potential applications in the mode-locked fiber lasers. Furthermore, comparing to two-soliton interactions, a novel phenomenon of three-soliton interactions with a strong phase shift at x=0 is revealed, which is potentially useful for optical logic switches.

Bidirectional all-optical switches based on highly nonlinear optical fibers

All-optical switches have become one of the research focuses of nonlinear optics due to their fast switching speed. They have been applied in such fields as ultrafast optics, all-optical communication and all-optical networks. In this paper, based on symbolic computation, bidirectional all-optical switches are presented using analytic two-soliton solutions. Various types of soliton interactions are analyzed through choosing the different parameters of high-order dispersion and nonlinearity. Results indicate that bidirectional all-optical switches can be effectively achieved using highly nonlinear optical fibers.

Inelastic interaction between dark solitons for fourth-order variable-coefficient nonlinear Schrödinger equation

Dark solitons have the advantages of high stability, long transmission distance, and low time jitter, they can be used in the field of high precision measurement, optical communication, and nonlinear optics. In this paper, inelastic interactions between dark solitons are investigated. With the analytic dark soliton solutions for the fourth-order variable-coefficient nonlinear Schrödinger equation, various types of inelastic interactions between dark solitons are presented. Influences of corresponding parameters are analyzed. Results may be applied in the optical switching devices and design of logic gates.

Phase shift, amplification, oscillation and attenuation of solitons in nonlinear optics

Graphical abstract Interactions between solitons can be controlled through adjusting the phase shift of solitons.