基于Bell多项式求解非线性发展方程Hirota双线性形式的新算法

A New Algorithm Based on Bell Polynomials to Construct Hirota Bilinear Forms of Nonlinear Evolution Equations

基于Bell多项式,构造了获得非线性发展方程双线性形式的一个新算法,并且开发了相应的程序包.非线性发展方程与其双线性形式之间的变换可由该程序包自动推导,同时给出了一些具有代表性的实例验证了该程序包的有效性与可靠性.

Based on Bell polynomials, a new algorithm is developed to derive the Hirota bilinear forms of nonlinear evolution equations, and the corresponding Maple package is constructed. The transformation from a equation to its bilinear form can be deducted automatically by the Maple package. Some examples are given to verify the validity of the algorithm.