A semi-explicit multi-symplectic Fourier pseudospectral scheme for the coupled nonlinear Schrödinger equation

Author

Hao Fu ; Xu Qian ; Songhe Song

Author_Institution

Dept. of Math. & Syst. Sci., Nat. Univ. of Defense Technol., Changsha, China

fYear

2013

fDate

9-11 June 2013

Firstpage

408

Lastpage

412

Abstract

In this paper, we propose a semi-explicit multi-symplectic scheme to solve the coupled nonlinear Schrödinger equation. The scheme is derived by multi-symplectic Fourier pseudospectral method in spatial discretization and Euler method in temporal discretization. It is verified that the obtained multi-symplectic scheme has corresponding discrete multi-symplectic conservation laws. Numerical experiments show the good preservation property of the proposed method during long-time numerical calculation.

Keywords

Fourier analysis; Schrodinger equation; conservation laws; nonlinear equations; numerical analysis; Euler method; discrete multisymplectic conservation laws; long-time numerical calculation; nonlinear Schrodinger equation; semiexplicit multisymplectic Fourier pseudospectral scheme; spatial discretization; temporal discretization; Boundary conditions; Bridges; Educational institutions; Equations; Mathematical model; Solitons; Fourier pseudospectral method; coupled nonlinear Schrödinger equation; multi-symplectic; symplectic Euler method;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2013 Fourth International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4673-6248-1

Type

conf

DOI

10.1109/ICICIP.2013.6568107

Filename

6568107