摘要
We discuss a modified Wadati-Konno-Ichikawa(m WKI) equation,which is equivalent to the WKI equation by a hodograph transformation.The explicit formula of degenerated solution of m WKI equation is provided by using degenerate Darboux transformation with respect to the eigenvalues,which yields two kinds of smooth solutions possessing the vanishing and nonvanishing boundary conditions respectively.In particular,a method for the decomposition of modulus square is operated to the positon solution,and the approximate orbits before and after collision of positon solutions are displayed explicitly.
We discuss a modified Wadati-Konno-Ichikawa（m WKI） equation,which is equivalent to the WKI equation by a hodograph transformation.The explicit formula of degenerated solution of m WKI equation is provided by using degenerate Darboux transformation with respect to the eigenvalues,which yields two kinds of smooth solutions possessing the vanishing and nonvanishing boundary conditions respectively.In particular,a method for the decomposition of modulus square is operated to the positon solution,and the approximate orbits before and after collision of positon solutions are displayed explicitly.
作者
王改华
张永帅
贺劲松
Gai-Hua Wang1 , Yong-Shuai Zhang 2, Jing-Song He 1(1Department of Mathematics, Ningbo University, Ningbo 315211, China ;2School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, Chin)
基金
Supported by the National Natural Science Foundation of China under Grant No.11671219
the K.C.Wong Magna Fund in Ningbo University
关键词
方程
光滑
动力学
边界条件
速度图
特征值
等价
分解
Wadati-Konno-Ichikawa equation positon breather-positon trajectory phase shift
