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Advances in Mathematical Physics
Volume 2016, Article ID 5787508, 19 pages
Research Article

Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

Departamento de Matemáticas, Universidad del Valle, Calle 13, No. 100-00, Cali, Colombia

Received 26 April 2016; Accepted 26 June 2016

Academic Editor: Antonio Scarfone

Copyright © 2016 Juan Carlos Muñoz Grajales. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.