Periodic energy switching of bright solitons in mixed coupled nonlinear Schrödinger equations with linear self-coupling and cross-coupling terms

The bright soliton solutions of the mixed coupled nonlinear Schrödinger equations with two components (2-CNLS) with linear self- and cross-coupling terms have been obtained by identifying a transformation that transforms the corresponding equation to the integrable mixed 2-CNLS equations. The study on the collision dynamics of bright solitons shows that there exists periodic energy switching, due to the coupling terms. This periodic energy switching can be controlled by the new type of shape changing collisions of bright solitons arising in a mixed 2-CNLS system, characterized by intensity redistribution, amplitude dependent phase shift, and relative separation distance. We also point out that this system exhibits large periodic intensity switching even with very small linear self-coupling strengths.

Figure 1

Shape-changing collision of bright solitons in the mixed 2-CNLS system.

Figure 2

Intensity plots of bright one-soliton solution (4): (a) in the presence of coupling $(\rho ,\chi >0)$; (b) in the absence of coupling $(\rho =\chi =0)$.

Figure 3

Type-II shape-changing collisions with periodic intensity switching.

Figure 4

Suppression of periodic oscillations in $S_2$ after interaction in a type-II SCC process.

Figure 5

Suppression of periodic oscillations in $S_1$ before interaction in a type-II SCC process.

Figure 6

Elastic collision of bright solitons with periodic oscillations in the mixed CNLS system with self-coupling and cross-coupling terms, Eq. (2).