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Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

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  • Juan Carlos Muñoz Grajales

Abstract

We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. Some numerical simulations concerned with analysis of a collision of two oncoming vector solitons of the system are also performed.

Suggested Citation

  • Juan Carlos Muñoz Grajales, 2016. "Vector Solitons of a Coupled Schrödinger System with Variable Coefficients," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-19, August.
    • Handle: RePEc:hin:jnlamp:5787508
    DOI: 10.1155/2016/5787508
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