Vakhnenko方程的新显式精确行波解

摘要

In this paper, on the base of the computer algebra system named Mathematic, many exact traveling wave solutions to the Vakhnenko equation were obtained by using the hyperbola function method and Wu-eliminafion method, which include new solitary wave solutions and periodic solutions.In this way, we enriched the study of the Vakhnenko equation.%借助计算机代数系统Mathematic软件，利用双函数法和吴氏消元法，获得了Vakhnenko方程的一系列显示精确行波解，其中包括孤波解和周期解，并得到了该方程的新的显式精确行波解，丰富了Vakhnenko方程的解法研究。