Multi-symplectic method for the coupled Schrödinger-KdV equations

doi:10.1088/1674-1056/23/8/080204

Abstract In this paper, we present a multi-symplectic Hamiltonian formulation of the coupled Schrödinger-KdV equations (CSKE) with periodic boundary conditions. Then we develop a novel multi-symplectic Fourier pseudospectral (MSFP) scheme for the CSKE. In numerical experiments, we compare the MSFP method with the Crank-Nicholson (CN) method. Our results show high accuracy, effectiveness, and good ability of conserving the invariants of the MSFP method.

Keywords: coupled Schrödinger-KdV equations multi-symplectic Fourier pseudospectral method

Received: 01 November 2013
Revised: 11 February 2014
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.70.Bf	(Finite-difference methods)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 91130013) and the Open Foundation of State Key Laboratory of High Performance Computing.

Corresponding Authors: Song Song-He
E-mail: shsong@nudt.edu.cn

Cite this article:

Zhang Hong (张弘), Song Song-He (宋松和), Zhou Wei-En (周炜恩), Chen Xu-Dong (陈绪栋) Multi-symplectic method for the coupled Schrödinger-KdV equations 2014 Chin. Phys. B 23 080204

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