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The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled systems of Nonlinear Schrödinger Equations

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  • Todorov, M.D.

Abstract

We investigate numerically by a conservative difference scheme in complex arithmetic the head-on and takeover collision dynamics of the solitary waves as solutions of linearly Coupled Nonlinear Schrödinger Equations for various initial phases. The initial conditions are superposition of two one-soliton solutions with arbitrary (elliptic) polarization. The quasi-particle behavior of propagating and interacting solutions in conditions of elliptic and rotational polarizations at once is examined. We find that the total mass, pseudomomentum and energy are conserved while the local masses, individual and total polarization depend strongly on the linear coupling and the initial phase difference. We also find out that the polarization angle of the quasi-particles can change independently of the interaction.

Suggested Citation

  • Todorov, M.D., 2016. "The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled systems of Nonlinear Schrödinger Equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 127(C), pages 273-286.
    • Handle: RePEc:eee:matcom:v:127:y:2016:i:c:p:273-286
    DOI: 10.1016/j.matcom.2014.04.011
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    References listed on IDEAS

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    1. Todorov, M.D. & Christov, C.I., 2012. "Collision dynamics of elliptically polarized solitons in Coupled Nonlinear Schrödinger Equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1321-1332.
    2. Todorov, M.D. & Christov, C.I., 2009. "Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(1), pages 46-55.
    3. Sonnier, W.J. & Christov, C.I., 2005. "Strong coupling of Schrödinger equations: Conservative scheme approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 69(5), pages 514-525.
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