首次积分法下高维非线性偏微分方程新的行波解

New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the First Integral Method

在交换代数环论的基础上,通过首次积分方法和符号运算系统Mathematica,研究了(3+1)维修正KdV-Zakharov-Kuznetsev方程ut+αu2ux+uxxx+uxyy+uxzz=0,得到了其新精确行波解.

Based on the ring theory of commutative algebra,applying the first integral method,and combining the computation software,Mathematica,we obtain some new exact traveling wave solutions for the （3 ＋ 1）-dimensional modified KdV-Zakharov-Kuznetsev equation ut＋αu^2ux＋uxxx＋uxyy＋uxzz =0.