关于双线性化Hirota-Satsuma方程的一点注记  

A Note on the Bilinear Hirota-Satsuma Equation for Shallow Water Waves

作　　者：蒋盈峰[1] 

机构地区：[1]江苏技术师范学院数理学院,江苏常州213001

出　　处：《江苏技术师范学院学报》2012年第4期60-63,共4页Journal of Jiangsu Teachers University of Technology

基　　金：国家自然科学基金青年基金(11102076)

摘　　要：从新的视角考虑Hirota双线性变换,建立了Hirota-Satsuma方程与其双线性化方程之间的局部等价性。提出了双线性化Hirota-Satsuma方程的由二阶微分方程加上适当的初值条件所定义的新型B覿cklund变换,并通过该变换从Hirota-Satsuma方程的种子解构造出其双线性化方程新的精确解。By considering the Hirota bilinear transformation from a new point of view,the local equivalence between the Hirota-Satsuma equation and its bilinear equation is established.A new type of B？cklund transformation,which is defined by a second-order ODE along with the appropriate initial values,is presented to new exact solutions for the bilinear Hirota-Satsuma equation from the seed solutions of original Hirota-Satsuma equation.

关 键 词：双线性化Hirota-Satsuma方程 局部等价 Bcklund变换 

分 类 号：O175.4[理学—数学]