Author's Personal Copy Computers and Mathematics with Applications High-order Compact Splitting Multisymplectic Method for the Coupled Nonlinear Schrödinger Equations
Author's Personal Copy Computers and Mathematics with Applications High-order Compact Splitting Multisymplectic Method for the Coupled Nonlinear Schrödinger Equations
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影响因子：
6.7
通讯作者：
Yuan Ma;L. Kong;Jialin Hong;Ying Cao
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作者：
Yuan Ma;L. Kong;Jialin Hong;Ying Cao
在大多数情况下，作者被允许将他们的文章版本（例如Word或Tex格式）发布到他们的个人网站或机构存储库。作者如需进一步了解Elsevier的存档和稿件政策，请访问：a b s t t a ct在本文中，我们为耦合非线性Schrödinger （CNLS）方程开发了一种新的多辛积分器。将CNLS方程转化为多辛方程。然后将其分解为线性多辛系统和非线性哈密顿系统。利用多辛环境下的一种新的高阶紧化（HOC）方法逼近了线性子问题的空间。对非线性子问题进行了精确积分。对于分裂和近似，我们使用了HOC-SMS积分器。从理论上研究了它的稳定性和守恒规律。数值结果证明了HOC-SMS积分器的精度和守恒规律，并模拟了各种孤子。它们与我们的理论分析是一致的。
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this paper, we develop a new kind of multisymplectic integrator for the coupled nonlinear Schrödinger (CNLS) equations. The CNLS equations are cast into multisymplectic formulation. Then it is split into a linear multisymplectic formulation and a nonlinear Hamiltonian system. The space of the linear subproblem is approximated by a high-order compact (HOC) method which is new in multisymplectic context. The nonlinear subproblem is integrated exactly. For splitting and approximation, we utilize an HOC–SMS integrator. Its stability and conservation laws are investigated in theory. Numerical results are presented to demonstrate the accuracy, conservation laws, and to simulate various solitons as well, for the HOC–SMS integrator. They are consistent with our theoretical analysis.