| 广义KdV方程和Ito型耦合KdV方程的数值研究 |
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| 引用本文： | 李佩玲,刘儒勋. 广义KdV方程和Ito型耦合KdV方程的数值研究[J]. 中国科学技术大学学报, 2008, 38(9) |
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| 作者姓名： | 李佩玲 刘儒勋 |
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| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
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| 摘 要： | 采用隐式紧差分Padé方法解完全非线性KdV方程和Ito型耦合KdV方程.特别地,应用这种方法研究了compacton和Ito型耦合KdV方程的解特性.数值结果证明了这种方法的效果.
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| 关 键 词： | compacton解 隐式Padé方法 完全非线性KdV方程 Ito型耦合KdV方程 implicit Padé scheme |
Numerical study on generalized KdV equations and Ito-type coupled KdV equations |
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| LI Pei-ling,LIU Ru-xun. Numerical study on generalized KdV equations and Ito-type coupled KdV equations[J]. Journal of University of Science and Technology of China, 2008, 38(9) |
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| Authors: | LI Pei-ling LIU Ru-xun |
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| Abstract: | An implicit compact difference Padé scheme was improved to solve the fully nonlinear Korteweg-de Vries (KdV) equations and Ito-type coupled KdV equations. Particularly, this method was applied to study the behaviors of solutions of compacton and Ito-type coupled KdV equations. Numerical results show the effectiveness of this scheme. |
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| Keywords: | compacton solutions fully nonlinear Korteweg-de Vries equations Ito-type coupled KdV equations |
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