A numerical method for finding multiple co-existing solutions to nonlinear cooperative systems
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In this paper, a local min-orthogonal method is developed to solve cooperative nonlinear elliptic systems for multiple co-existing solutions. A characterization of co-existing critical points of a dual functional is established and used as a mathematical justification for the method. The method is then implemented to numerically solve two coupled nonlinear Schrödinger equations which model spatial vector solitons propagating in a saturable bulk nonlinear medium for multiple co-existing solutions. © 2007 IMACS.
author list (cited authors)
Chen, X., Zhou, J., & Yao, X.