基于Matlab研究孤立波的非线性作用

孤立波在许多自然科学领域存在重要价值，它是推动非线性科学发展的重要概念之一，也是非线性发展方程的一种独特的现象。KdV方程的提出也从理论上阐明了孤立波的存在。利用Matlab软件绘制孤立波图，分析图中孤立波的性质，并对比了消除KdV方程非线性项后绘制出来的线性方程的波图形，总结出了KdV方程的非线性项对于孤立波存在起着重要的作用。

Research on Non-linear Effects of Solitary Waves Based on Matlab

Solitary wave plays a major role in many natural sciences fields, which is one of important concepts of promoting the development of nonlinear science. It is also a unique phenomenon in development process of nonlinear equation. The existence of solitary wave is proved from the theoretical side of KdV equation. By using Matlab software to draw solitary wave map and to analyze its characters, the nonlinear of KdV equation is eliminated and its wave map is drawed to compare with solitary wave map, then a conclusion that the nonlinear of KdV equation play a major role for existence of the solitary wave map is summarized.