Bell多项式在(2+1)维Nizhnik方程组中的应用

Bell Polynomial Application in(2 + 1)-Dimensional Nizhnik Equations

将Bell多项式方法推广到(2+1)维非线性发展方程可积性的研究.对于(2+1)维的Nizhnik方程组,构造了其双线性形式,并得出该方程组由双Bell多项式形式构成的双线性Bcklund变换及相应的Lax对.

In this paper, we generalize the Bell polynomial method to investigate the integrable property for the （2 ＋ 1 ） -dimension- al nonlinear evolution equations. Then using this method, we construct the bilinear form to derive the Baeklund transformations in the form of the binary Bell polynomials and the corresponding Lax pair for the （2 ＋ 1 ） -dimensional Nizhnik equations.