Effect of Phase Shift in Shape Changing Collision of Solitons in Coupled Nonlinear Schroedinger Equations

Soliton interactions in systems modelled by coupled nonlinear Schroedinger (CNLS) equations and encountered in phenomena such as wave propagation in optical fibers and photorefractive media possess unusual features : shape changing intensity redistributions, amplitude dependent phase shifts and relative separation distances. We demonstrate these properties in the case of integrable 2-CNLS equations. As a simple example, we consider the stationary two-soliton solution which is equivalent to the so-called partially coherent soliton (PCS) solution discussed much in the recent literature.Comment: 11 pages, revtex4,Two eps figures. European Journal of Physics B (to appear

Coherently coupled bright optical solitons and their collisions

We obtain explicit bright one- and two-soliton solutions of the integrable case of the coherently coupled nonlinear Schrödinger equations by applying a non-standard form of Hirota's direct method. We find that the system admits both degenerate and non-degenerate solitons in which the latter can take single-hump, double-hump and flat-top profiles. Our study on the collision dynamics of solitons in the integrable case shows that the collision among degenerate solitons and the collision among non-degenerate solitons are always standard elastic collisions. But the collision of a degenerate soliton with a non-degenerate soliton induces switching in the latter leaving the former unaffected after collision, thereby showing a different mechanism from that of the Manakov system

Simulation of universal optical logic gates under energy sharing collisions of Manakov solitons and fulfillment of practical optical logic criteria

The universal optical logic gates, namely NAND and NOR gates, have been theoretically simulated by employing the energy sharing collision of bright optical solitons in the Manakov system, governing pulse propagation in a highly birefringent fiber. Further, we also realize the two input optical logic gates such as AND, OR, XOR, XNOR for completeness of our scheme. Interestingly, our idea behind the simulation naturally satisfies all the criteria for practical optical logic which in turn displays the strength and versatility of our theoretical simulation of universal optical logic gates. Hence, our approach paves the way for the experimentalists to create a new avenue in this direction if the energy sharing collisions of Manakov solitons are experimentally realized in the future.Comment: 7 figures. arXiv admin note: substantial text overlap with arXiv:1806.0096