Concatenating construction of the multisymplectic schemes for 2+1-dimensional sine-Gordon equation

查看全文 作　　者：WANG Yushun, WANG Bin & QIN MengzhaoLASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China;School of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Science China Mathematics》索引2004年第47卷第1期,共13页

基　　金：This work was supported by the National Natural Science Foundation of China Innovation Group(No.40221503);the CAS Hundred Talent Project,the National Key Development Planning Project for the Basic Research(No.1999032081);the National Natural Science Foundation of China(Grant No.10226012). 摘　　要：In this paper, taking the 2+1-dimensional sine-Gordon equation as an example, we present the concatenating method to construct the multisymplectic schemes. The method is to discretizee independently the PDEs in different directions with symplectic schemes, so that the multisymplectic schemes can be constructed by concatenating those symplectic schemes. By this method, we can construct multisymplectic schemes, including some widely used schemes with an accuracy of any order. The numerical simulation on the collisions of solitons are also proposed to illustrate the efficiency of the multisymplectic schemes. 关键词：2+1-dimensional SINE-GORDON equation, MULTISYMPLECTIC scheme, concatenating method, solitons.

相关文献

参考文献（3）
引证文献（17）
耦合文献（0）

参考文献(3)

引证文献(17)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

Concatenating construction of the multisymplectic schemes for 2+1-dimensional sine-Gordon equation

参考文献(3)

引证文献(17)

用户提示