基于Hirota双线性方法,利用多维二元Bell多项式,讨论高维非线性发展方程及其性质.构造出(3+1)维Jimbo-Miwa方程的双线性形式、双线性Bcklund变换、Lax对以及N-波解.这种方法避免了Hirota双线性方法中变换的选取和较复杂的恒等式运用.
Based on the Hirota bilinear method, high dimensional nonlinear evolution equation and the property of it are learned by using multi-dimensional binary Bell polynomials. The bilinear repre- sentation, bilinear Backlund transformations, Lax pairs and the N-wave solutions of the (3+1) dimen- sional Jimbo-Miwa equation are obtained. The approach can avoid the selections of transformations and the complex deduction of identities in the Hirota bilinear method.