一类非线性四阶偏微分方程的精确解研究

Study of Exact Solutions for A Nonlinear Fourth-Order Partial Differential Equation

研究了一类非线性四阶偏微分方程的精确解.首先将四阶偏微分方程约化成为常微分方程,进而对相应的常微分方程问题求解,而后通过参数取值的改变得到相关的精确解.最后根据不同情形下所得的精确解,利用Matlab软件绘图给出精确解的波形图分析.

The exact solutions for a nonlinear fourth-order partial differential equation are studied.For the methods,the fourth-order partial differential equation is transformed into some ordinary differential equations firstly.By solving the corresponding ordinary differential equations,the exact solutions are obtained as the parameters change.Finally,the waveform graphs are given by using MATLAB software according to the different exact solutions.