| 复修正KdV方程的高阶保能量方法 |
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| 引用本文： | 闫静叶,孙建强.复修正KdV方程的高阶保能量方法[J].江西师范大学学报(自然科学版),2016,40(2):209-213. |
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| 作者姓名： | 闫静叶 孙建强 |
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| 作者单位： | 海南大学信息科学技术学院数学系,海南 海口 570228 |
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| 摘 要： | 利用4阶平均向量场方法和拟谱方法构造了复修正KdV方程的高阶保能量平均向量场格式,并利用构造的高阶保能量格式数值模拟了方程孤立波的演化行为.数值结果表明:构造的4阶格式具有好的稳定性,可以很好地模拟孤立波的演化行为,并且精确保持方程的能量守恒特性.
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| 关 键 词： | 平均向量场方法 保能量方法 复修正KdV方程 孤立波 |
The High Order Energy Preserving Method for the Complex Modified KdV Equation |
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| YAN Jingye,SUN Jianqiang.The High Order Energy Preserving Method for the Complex Modified KdV Equation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2016,40(2):209-213. |
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| Authors: | YAN Jingye SUN Jianqiang |
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| Institution: | College of Information Science and Technology,Hainan University,Haikou Hainan 570228,China |
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| Abstract: | The fourth order energy preserving scheme for the complex modified KdV equation is obtained by applying the fourth order average vector field method(AVF)and the Fourier pseudospectral method.The new fourth order energy preserving scheme is applied to simulate the behaviors of solitary waves of the KdV equation.Numerical results show that the fourth order scheme has a nice stability and can well simulate the solitary wave evolution behaviors of the complex modified KdV equation in long time,moreover preserve the discrete energy conservation of the system. |
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| Keywords: | average vector field method energy-preserving method the complex modified KdV equation the solitary wave |
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