摘要
本文借助于Bell多项式研究经典Boussinesq方程,将其转换成Hirota双线性形式,构造了带参数的B(a|¨)cklund变换,进而重新导出了其Lax表示.
The classical Boussinesq equation is revisited. By means of Bell polynomials, this equation is bilinearized. Furthermore, a Backlund transformation, consisting of four equations with an essential parameter, is constructed for it. Also, its Lax pair is recovered.
出处
《应用数学学报》
CSCD
北大核心
2013年第4期727-737,共11页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10731080,10971222,11271366)
中央高校基本科研资助项目
