Solutions of the 1D Coupled Nonlinear Schrodinger Equations by the CIP-BS Method

作     者：Takayuki Utsumi Takayuki Aoki James Koga Mitsuru Yamagiwa 

作者机构：Department of Electronics and Computer ScienceTokyo University of ScienceYamaguchi1-1 Daigaku-doriSanyou-OnodaYamaguchi 756-0884Japan Global Scientific Information and Computing CenterTokyo Institute of TechnologyO-okayamaMeguro-kuTokyo 152-8552Japan Japan Atomic Energy Agency8-1 Umemidai Kizu-choSouraku-gunKyoto 619-0215Japan 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2006年第1卷第2期

页      面：261-275页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：The CIP-BS method basis set differential algebra the Galerkin method the coupled nonlinear Schrödinger equation 

摘      要：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 uses a simple polynomial basis set,by which physical quantities are approximated with their values and derivatives associated with grid *** operations on functions are carried out in the framework of differential ***,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 *** method gives stable,less diffusive,and accurate results for the CNLS equations.