Year: 2006
Communications in Computational Physics, Vol. 1 (2006), Iss. 2 : pp. 261–275
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-CiCP-7957
Communications in Computational Physics, Vol. 1 (2006), Iss. 2 : pp. 261–275
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15