| 基于COMSOL Multiphysics求解KdV方程 |
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| 引用本文： | 糜凯华.基于COMSOL Multiphysics求解KdV方程[J].常熟理工学院学报,2014(2):42-44,61. |
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| 作者姓名： | 糜凯华 |
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| 作者单位： | 昆明理工大学电力工程学院,云南昆明650500 |
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| 摘 要： | 为了得到KdV方程的数值解，基于有限单元法的COMSOL Multiphysics软件建立有限元模型并求解孤立波在各个时间点的分布情况，以研究孤立波的传播特性。数值模拟结果表明：孤立波不会发生消散，以三维图的分布形式表示，可以发现孤立子在一定的空间内会发生碰撞以及发生重现，也即两个不同速度和振幅的孤子相互碰撞、相互穿过，互相之间没有影响。
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| 关 键 词： | COMSOL Multiphysics 有限单元法 KdV方程 |
Solution of the KdV Equation Based on COMSOL Multiphysics |
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| MI Kai-hua.Solution of the KdV Equation Based on COMSOL Multiphysics[J].Journal of Changshu Institute of Technology,2014(2):42-44,61. |
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| Authors: | MI Kai-hua |
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| Institution: | MI Kai-hua(Faculty of Electric Power Engineering,Kunming University of Science and Technology,Kunming 650500,China) |
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| Abstract: | In order to obtain numerical solutions of the KdV equation,COMSOL Multiphysics software based on finite element method established a finite element model and solved the distribution of solitary waves at various points in time. The results can study the propagation of solitary waves. Simulation results indicate that the soli-tary wave does not occur in isolation. Solitary waves can be found within a certain space where collisions occur as well as reproduced by representing as a three dimensional map distribution. Two different speed and ampli-tude solitons collided and did not affect each other. |
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| Keywords: | COMSOL Multiphysics finite-element method analytical method KdV equation |
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