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 Schrdinger equations which model spatial vector solitons propagating in a saturable bulk nonlinear medium for multiple co-existing solutions. 2007 IMACS.

published proceedings

  • Applied Numerical Mathematics

author list (cited authors)

  • Chen, X., Zhou, J., & Yao, X.

citation count

  • 9

complete list of authors

  • Chen, Xianjin||Zhou, Jianxin||Yao, Xudong

publication date

  • November 2008