CAJ | 학술논문

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。
위료득도KdV방정적수치해，기우유한단원법적COMSOL Multiphysics연건건립유한원모형병구해고립파재각개시간점적분포정황，이연구고립파적전파특성。수치모의결과표명：고립파불회발생소산，이삼유도적분포형식표시，가이발현고립자재일정적공간내회발생팽당이급발생중현，야즉량개불동속도화진폭적고자상호팽당、상호천과，호상지간몰유영향。
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.