| 带有阻尼项的4阶非线性薛定谔方程的显式辛格式 |
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| 引用本文： | 徐远,孔令华,王兰,黄晓梅. 带有阻尼项的4阶非线性薛定谔方程的显式辛格式[J]. 江西师范大学学报(自然科学版), 2013, 0(3): 244-248 |
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| 作者姓名： | 徐远 孔令华 王兰 黄晓梅 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西南昌,330022 |
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| 基金项目： | 国家自然科学基金(10901074,11271171);江西省自然科学基金(20114BAB201011);江西省教育厅科研计划(GJJ12174)资助项目 |
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| 摘 要： | 把带有阻尼项的4阶薛定谔方程写成标准的哈密尔顿系统,将该哈密尔顿系统分裂成2个哈密尔顿子系统.一个子系统是可分的,可以构造显式的辛格式；而另一个子系统由点点的质量守恒可以精确求解.这样得到的数值格式整体上是辛格式,而且避免了通常辛格式需要迭代的弊端,提高了计算效率.
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| 关 键 词： | 4阶非线性薛定谔方程 显式辛格式 哈密尔顿系统 |
Explicit Symplectic Scheme for Nonlinear Fourth Order Schr(o)dinger Equation with a Trapped Term |
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| XU Yuan,KONG Ling-hua,WANG Lan,HUANG Xiao-mei. Explicit Symplectic Scheme for Nonlinear Fourth Order Schr(o)dinger Equation with a Trapped Term[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2013, 0(3): 244-248 |
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| Authors: | XU Yuan KONG Ling-hua WANG Lan HUANG Xiao-mei |
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| Affiliation: | (College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | The Schrödinger equation with trapped term is rewrited into standard Hamiltonian system,which is splitted into two subsystems.One of them is separable and explicit symplectic scheme can be constructed.Another can be solved exactly due to its pointwise mass conservation law.The whole scheme is explicit symplectic integrator.Therefore,no iterative is required and computational efficiency is improved. |
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| Keywords: | fourth-order Schr(o)dinger equation explicit symplectic scheme Hamiltonian system |
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