A numerical method for finding multiple co-existing solutions to nonlinear cooperative systems Academic Article uri icon

abstract

  • 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 Schr√∂dinger 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.

citation count

  • 7

publication date

  • November 2008