| 五次B样条配置法求解广义KdV方程 |
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| 引用本文： | 刘兴霞,孙建安,张利军.五次B样条配置法求解广义KdV方程[J].天水师范学院学报,2010,30(2):23-26. |
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| 作者姓名： | 刘兴霞 孙建安 张利军 |
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| 作者单位： | 1. 天水师范学院物理与信息科学学院,甘肃,天水,741001
2. 西北师范大学物理与电子工程学院,甘肃,兰州,730070 |
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| 摘 要： | 采用有限元方法进行空间离散．构造了求一维非线性广XKdV方程孤立波解的五次B样条配置法．数值计算了p=1，p=2和p=3时该方程的孤立波解，从结果来看，它们满足该方程的守恒律．
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| 关 键 词： | 广义KdV方程 五次B样条 配置法 |
A Collocation Method of Quintic B-spline for Solving General KdV Equation |
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| Liu Xingxia,Sun Jian＇an,Zhang Lijun.A Collocation Method of Quintic B-spline for Solving General KdV Equation[J].Journal of Tianshui Normal University,2010,30(2):23-26. |
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| Authors: | Liu Xingxia Sun Jian＇an Zhang Lijun |
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| Institution: | 1. School of Physics and Information Science, Tianshui Normal UniVersity, Tianshui Gansu 741001, China; 2. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou Gansu 730070, China) |
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| Abstract: | It made spatial spreading by using the finite element method and constructed the collocation method of quintic B-spline for solving one-dimensio nal nonlinear general KdV equation in this paper. When p=1, p=2 and p=3, the solitary wave solutions of the equation were calculated, which showed that the results met the conservation law of it. |
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| Keywords: | general KdV equation quintic B-spline collocation method |
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