Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrdinger equations  

作　　者：KONG LingHua WANG Lan JIANG ShanShan DUAN YaLi 

机构地区：[1]School of Mathematics and Information Science,Jiangxi Normal University [2]School of Science,Beijing University of Chemical Technology [3]School of Mathematics,University of Science and Technology of China

出　　处：《Science China Mathematics》2013年第5期915-932,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.10901074,11271171,91130003,11001009 and 11101399);the Province Natural Science Foundation of Jiangxi(Grant No. 20114BAB201011);the Foundation of Department of Education of Jiangxi Province(Grant No.GJJ12174);the State Key Laboratory of Scientific and Engineering Computing,CAS;supported by the Youth Growing Foundation of Jiangxi Normal University in 2010

摘　　要：A multisymplectic Fourier pseudo-spectral scheme, which exactly preserves the discrete multisym- plectic conservation law, is presented to solve the Klein-Gordon-SchrSdinger equations. The scheme is of spectral accuracy in space and of second order in time. The scheme preserves the discrete multisymplectic conservation law and the charge conservation law. Moreover, the residuals of some other conservation laws are derived for the geometric numerical integrator. Extensive numerical simulations illustrate the numerical behavior of the multisymplectic scheme, and demonstrate the correctness of the theoretical analysis.A multisymplectic Fourier pseudo-spectral scheme,which exactly preserves the discrete multisymplectic conservation law,is presented to solve the Klein-Gordon-Schrdinger equations.The scheme is of spectral accuracy in space and of second order in time.The scheme preserves the discrete multisymplectic conservation law and the charge conservation law.Moreover,the residuals of some other conservation laws are derived for the geometric numerical integrator.Extensive numerical simulations illustrate the numerical behavior of the multisymplectic scheme,and demonstrate the correctness of the theoretical analysis.

关 键 词：Klein-Gordon-SchrSdinger equations multisymplectic integrator Fourier pseudo-spectral meth- od. conservation law. soliton 

分 类 号：O175.29[理学—数学]