A new explicit multisymplectic integrator for the Kawahara-type equation  

作　　者：蔡文君 王雨顺 

机构地区：[1]Key Laboratory for NSLSCS of Jiangsu Province, School of Mathematics and Sciences, Nanjing Normal University

出　　处：《Chinese Physics B》2014年第3期99-103,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11271195 and 11271196);the Project of Graduate Education Innovation of Jiangsu Province,China(Grant No.CXZZ12-0385)

摘　　要：We derive a new multisymplectic integrator for the Kawahara-type equation which is a fully explicit scheme and thus needs less computation cost. Multisympecticity of such scheme guarantees the long-time numerical behaviors. Nu- merical experiments are presented to verify the accuracy of this scheme as well as the excellent performance on invariant preservation for three kinds of Kawahara-type equations.We derive a new multisymplectic integrator for the Kawahara-type equation which is a fully explicit scheme and thus needs less computation cost. Multisympecticity of such scheme guarantees the long-time numerical behaviors. Nu- merical experiments are presented to verify the accuracy of this scheme as well as the excellent performance on invariant preservation for three kinds of Kawahara-type equations.

关 键 词：Kawahara-type equation multisymplectic integrator Euler-box scheme adjoint scheme 

分 类 号：O411[理学—理论物理]