一种改进的辅助函数法及其对近似长水波方程的求解

摘要

In thispaper, we present a new improved auxiliary method and use it to investigate the approximate long water wave equations; as a result, more explicit solutions according to some parameters are obtained, some of which are new.%提出一种求解非线性演化方程的改进的辅助函数法，根据不同的参数可给出不同形式的精确解，从而有助于探索非线性方程的新解。用此方法求解了近似长水波方程，得到了其多组精确解。