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MKdV方程的多辛格式 被引量:2

Multi-Symplectic Scheme for MKdV Equation
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摘要 提出了MKdV方程的一个多辛Hamilton形式,并利用中点辛离散得到一个等价于多辛Preissman积分的新格式,最后用数值例子说明:多辛格式具有良好的长时间数值行为. We present a multi-symplectic Hamiltonian formulation for MKdV equation,and get a new scheme which is equivalent to the multi-symplectic Preissman integrator by discreting the equations with middle point formulations.And the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior .
作者 郭峰 吴凤珍
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第1期128-129,139,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 华侨大学校级科研基金资助项目(04HZR08)
关键词 MKDV方程 多辛格式 守恒律 MKdV equation multi-symplectic scheme conservation law
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参考文献3

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同被引文献11

  • 1冯康,秦孟兆.哈密尔顿系统的辛几何算法[M].杭州:浙江科学技术出版社,2002.
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  • 4Bridges T.J.,Reich S.Numerical Methods for Hamiltonian PDEs[J].Jo Phys.A:Math.Gen.,2006,39:5287-5320.
  • 5Bridges T.J.,Reich S.Multisymplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations[J].Physica D,2001,152-153:491-504.
  • 6Chen J.B.,Qin M.Z.Multisymplectic Fourier pseudospectral method for the SchrSdinger equa-tion[J].Electronic Transactions on Numerical Analysis,2001,12:193-204.
  • 7Chen J.B.Symplectic and multisymplectic Fourier pseudospectral Discretzation for the Klein-Gordon equation[J].Letters in Mathematical Physics,2006,75:293-305.
  • 8Jian Wang.A note on multisymplectic Fourier pseud0spectral discretization for the nonlinear Schr(o)dinger equation[J].Applied Mathematics and Computation,2007,191:31-41.
  • 9胡伟鹏,邓子辰,李文成.KdV方程的多辛算法及其孤子解的数值模拟[J].西北工业大学学报,2008,26(1):128-131. 被引量:4
  • 10王会平,王雨顺,胡莹莹.An Explicit Scheme for the KdV Equation[J].Chinese Physics Letters,2008,25(7):2335-2338. 被引量:3

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