`a`

Repelling soliton collisions in coupled Schrödinger equations with negative cross modulation

Pages: 708 - 718, Issue Special, September 2009

 Abstract        Full Text (307.2K)              

W. Josh Sonnier - Department of Physics, Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504-1010, United States (email)
C. I. Christov - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504-1010, United States (email)

Abstract: The system of Coupled Nonlinear Schrödinger's Equations (CNLSE) is solved numerically by means of a conservative difference scheme. A new kind of repelling collision is discovered for negative values of the cross-modulation coupling parameter, $\alpha_2$. The results show that as the latter becomes increasingly negative, the behavior of the solitons during interaction change drastically. While for $\alpha_2 >0$, the solitons pass through each other, a negative threshold value $\alpha^*_2 < 0$ is found below which the solitons repell each other. This is a novel result for this kind of models and the conservation of momentum for the system of quasi-particles (QPs) is thoroughly investigated.

Keywords:  Models, numerical methods,Simulation,Nonlinear stabilities
Mathematics Subject Classification:  Primary: 65C20, 68U20,37M05,65P40

Received: August 2008;      Revised: July 2009;      Published: September 2009.