修正的BBM方程的一些新的精确解

Some new exact solutions of the mBBM equation

用修正影射法解修正的BBM(mBBM)方程,得到了一些新的精确解.这个方法的优点在于:①待定函数f(ξ)的指数i的范围从N扩大到-N;②可以不必给出函数f(ξ)的具体表达式求解方程,这样便于寻找更多的解.本文就是利用了这一特点,选择合适的参数,得到一些mBBM方程新的精确解.我们相信;这个方法还可以推广到含有更多维和更高阶的求导项的方程.

New exact solutions are determined to the mBBM equation by means of modified mapping method. The advantages of this method are：①the range of the exponent i of the undefined functions f（ξ） from -N to N; ② the indeterminate specific form of function so that we can get more new exact solutions. We believe one can apply this method to other equations that contain the higher dimension and derivatives orders, too.