Hirota-Satsuma方程的Darboux变换解  

Darboux Transformation Solutions of Hirota-Satsuma Equation

作　　者：于志云[1] 苏婷[2] 

机构地区：[1]中原工学院理学院,河南郑州450007 [2]河南工程学院数理系,河南郑州451191

出　　处：《河南科技大学学报（自然科学版）》2012年第2期87-91,9-10,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省基础与前沿基金项目(102300410214;112300410193;2011B110006)

摘　　要：通过建立Lax对之间的规范变换,得到了Hirota-Satsuma方程的达布变换。作为应用,还得到了该方程的有理解,孤子解等。By means of establishing a normalization transformation between Lax pairs,Darboux transformation of Hirota-Satsuma equation is derived.As its application,some new solutions of the Hirota-Satsuma equation are obtained,including rational solution and soliton solution etc.

关 键 词：达布变换 LAX对 HIROTA-SATSUMA方程 显式解 

分 类 号：O175.2[理学—数学]