Wang, T., Gue, B. and Zhang, L. (2010) New Conservative Schemes for Coupled Nonlinear Schr?dinger System. Applied Mathematics and Computation, 217, 1604-1619.
http://dx.doi.org/10.1016/j.amc.2009.07.040

has been cited by the following article:

• TITLE: A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger-Boussinesq Equations

  AUTHORS: M. S. Ismail, H. A. Ashi

  KEYWORDS: Coupled Nonlinear Schrodinger-Boussinesq Equation, Conserved Quantities, Soliton, Plane Wave Solution, Fixed Point Method

  JOURNAL NAME: Applied Mathematics, Vol.7 No.7, April 25, 2016

  ABSTRACT: In this paper we are going to derive two numerical methods for solving the coupled nonlinear Schrodinger-Boussinesq equation. The first method is a nonlinear implicit scheme of second order accuracy in both directions time and space; the scheme is unconditionally stable. The second scheme is a nonlinear implicit scheme of second order accuracy in time and fourth order accuracy in space direction. A generalized method is also derived where the previous schemes can be obtained by some special values of l. The proposed methods will produced a coupled nonlinear tridiagonal system which can be solved by fixed point method. The exact solutions and the conserved quantities for two different tests are used to display the robustness of the proposed schemes.