摘要
从数值模拟及图像中得到KdV方程的性质和特点,阐述了孤波形成的物理意义,并以此论证理论推导的结果,形象准确地得到了在不同初值条件下波形的变化.通过模拟KP方程演示孤立子在三维下的运动,揭示孤立子在三维运动时的一些性质,并与KdV方程比较.
The characters of KdV function are analyzed visually by computational methods, and the physical meaning of solitary wave is expounded. Based on these works, the theoretic results are proved practical. Also, the motions of solitary waves under the different initial conditions are described accurately. The simulations of KP function show some characters of soliton in three-dimensional space, comparing with those of KdV function.
出处
《首都师范大学学报(自然科学版)》
2006年第3期29-33,共5页
Journal of Capital Normal University:Natural Science Edition