郑州大学学报(理学版)2004,Vol.36Issue(4):6-8,12,4.
AKNS方程的精确解
Explicit Solutions of AKNS Equations
摘要
Abstract
For the AKNS equation rx-rxxt+a3rrt+a4rx∫x-∞rtdx+rt=0,its Painlevé analysis is considered.The Darboux transformation and Crum theorem of its spectral problem are obtained.Some interesting solutions(such as double soliton solution, triple soliton solution, singular solution) have been found.关键词
Painlevé分析/Darboux变换/Lax对/孤子解Key words
Painlevé analysis/Darboux transformation/Lax pairs/soliton solution分类
数理科学引用本文复制引用
张金顺,邓俊谦..AKNS方程的精确解[J].郑州大学学报(理学版),2004,36(4):6-8,12,4.基金项目
国家自然科学基金资助项目,编号10071075 ()
河南省教育厅自然科学基金资助项目,编号20011100009. ()