关于孤立子的研究
Research on solitons
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摘要: 首先简单回顾了光滑孤立子、尖孤立子、紧孤立子的发现过程.然后用动力系统分支方法和积分方法获得了4类方程的一些新孤立子解,这4类方程分别是著名的KdV方程、MKdV方程、Camassa-Holm方程和B(m,n)方程.Abstract: Firstly the histories of the solitons,Peakons and compactons are reviewed simply,secondly by using the bifurcation and integral methods of dynamical systems the KdV,MKdV,CH and B(m,n) equations are investigated.Some new solitons,peakons and compactons are obtained.