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Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector NLSE

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  • Todorov, M.D.
  • Christov, C.I.

Abstract

For the Coupled Nonlinear Schrödinger Equations (CNLSE) we construct a conservative fully implicit scheme (in the vein of the scheme with internal iterations proposed in [C.I. Christov, S. Dost, G.A. Maugin, Inelasticity of soliton collisions in system of coupled nls equations, Physica Scripta 50 (1994) 449–454.]). Our scheme makes use of complex arithmetic which allows us to reduce the computational time fourfold. The scheme conserves the “mass”, momentum, and energy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:1:p:46-55
    DOI: 10.1016/j.matcom.2009.06.020
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    References listed on IDEAS

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    1. Ismail, M.S. & Taha, Thiab R., 2001. "Numerical simulation of coupled nonlinear Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(6), pages 547-562.
    2. 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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    Cited by:

    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., 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.

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