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高阶广义KDV方程和KP方程的数值解法
COMPUTATIONAL METHODS FOR HIGH-LEVEL GENERALIZED KDV EQUATION AND KP EQUATION
查看参考文献12篇
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文摘
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采用一种线性隐格式来解3-阶和5-阶的广义Korteweg-De Vries(KDV)方程,对这种方法做一推广,就能应用到它的二维形式广义Kadomtsew-Petviashvili(KP)方程.这种方法是无条件稳定的,且是无损耗的.数值实验描述了一个线性孤波运动的情形以及两个孤波交互的情形,从结果来看,它们满足孤立子解的两个守恒-动量守恒和能量守恒. |
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其他语种文摘
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Computational methods based on a linearized implicit scheme are proposed for generalized Korteweg-de Vries(KDV) equation. The methods are applied with minor modifications to the generalized Kadomtsew-Petviashvili(KP) equation. An important advantage gained from the linearized implicit methods is unconditional stability. Numerical results portraying a single-line-soliton solution and the interaction of two-line solition are reported for the 5-order KDV and 6-order KP equations. |
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来源
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系统科学与数学
,2005,25(6):658-668 【核心库】
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关键词
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数值解法
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KDV/KP方程
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孤波
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稳定性分析
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相位差
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地址
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1.
山东大学数学与系统科学学院, 山东, 济南, 250100
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山东理工大学数学与信息科学学院, 山东, 淄博, 255049
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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数学 |
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基金
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国家自然科学基金
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国家教育部高等学校博士学科点专项科研基金
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文献收藏号
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CSCD:2186393
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参考文献 共
12
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