Multi-symplectic method for the coupled Schrdinger–KdV equations  

作　　者：张弘 宋松和 周炜恩 陈绪栋 

机构地区：[1]Department of Mathematics and System Science, College of Science, National University of Defense Technology [2]State Key Laboratory of High Performance Computing, National University of Defense Technology

出　　处：《Chinese Physics B》2014年第8期226-232,共7页中国物理B（英文版）

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

摘　　要：In this paper, we present a multi-symplectic Hamiltonian formulation of the coupled Schrtidinger-KdV equations （CS＇KE） 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.In this paper, we present a multi-symplectic Hamiltonian formulation of the coupled Schrtidinger-KdV equations （CS＇KE） 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.

关 键 词：coupled Schr/Sdinger-KdV equations MULTI-SYMPLECTIC Fourier pseudospectral method 

分 类 号：O175[理学—数学]