TY - JOUR
T1 - Solutions of the 1D Coupled Nonlinear Schrödinger Equations by the CIP-BS Method
AU - T. Utsumi, T. Aoki, J. Koga & M. Yamagiwa 
JO - Communications in Computational Physics
VL - 2
SP - 261
EP - 275
PY - 2006
DA - 2006/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7957.html
KW - 
AB - <p style="text-align: justify;">In this paper, we present solutions for the one-dimensional coupled nonlinear
Schrödinger (CNLS) equations by the Constrained Interpolation Profile-Basis Set
(CIP-BS) method. This method uses a simple polynomial basis set, by which physical
quantities are approximated with their values and derivatives associated with grid
points. Nonlinear operations on functions are carried out in the framework of differential
algebra. Then, by introducing scalar products and requiring the residue to be
orthogonal to the basis, the linear and nonlinear partial differential equations are reduced
to ordinary differential equations for values and spatial derivatives. The method
gives stable, less diffusive, and accurate results for the CNLS equations.</p>