(3+1)维广义KP方程的新精确解(英文)

New Exact Solutions of the (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation

利用辅助函数方法得到了(3+1)维KP方程的新的精确解.利用直接对称方法得到了方程的对称推广了有关的结果.进一步利用我们的定理得到了新的精确解并推广了Mohammed Khalfallah的结果.

Applying Auxiliary equation method we find out some new travelling solutions of the （3 ＋ 1）-Kadomtsev-Petvishvili equation. Using direct symmetry method we obtain the symmetry of KP equation and generalize the corresponding results. Furthermore using our Theorem, we get new exact solutions and generalize the results given by Mohammed Khalfallah.