【摘要】 基于广田双线性法，将（3+1）维Korteweg-de-Vries(KdV)方程化为双线性形式。然后利用试探函数法与符号计算系统Mathematica得到了该方程的lump解、有理函数新解以及由指数函数、三角函数、双曲函数、分式函数和对数函数的复合新解。通过选取适当的参数，画出一部分精确解的图形解释其性质。更多还原

【Abstract】 Firstly, the(3+1) dimensional Korteweg de Vries(KdV) equation is transformed into bilinear form based on Hirota bilinear method. And then, the lump solution, the new solution of rational function and the composite new solution of exponential function, trigonometric function, hyperbolic function, fractional function and logarithmic function of the equation are obtained by using the trial function method and the symbolic computing system Mathematica. Finally, some graphs of exact solutions are drawn to explain their properties through selecting appropriate parameters.更多还原