基于四阶非线性偏微分方程的精确解探讨  

Based on the Exact Solution of the Fourth Order Nonlinear Partial Differential Equation

作　　者：吴丽娇[1] WU Lijiao(Fujianshiping Traffic Vocational College,Fuzhou 350000,China)

机构地区：[1]福建船政交通职业学院,福建福州350000

出　　处：《太原师范学院学报（自然科学版）》2020年第1期37-43,48,共8页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：通过数学思想求解一类四阶非线性偏微分方程的精确解,研究得到了一般解的参数表示,然后通过参数取值得到了该方程的一些特殊的精确解.包括三角函数解、双曲函数解及它们的混合解,这种方法避免了很多繁琐重复的计算步骤,有很强的理论和实践价值.By solving the exact solution of a class of fourth-order nonlinear partial differential equations with mathematical thought,the parametric representation of the general solution is obtained,and some special exact solutions of the equation are obtained by taking the parameter values.It includes trig function solution,hyperbolic function solution and their mixed solution.

关 键 词：四阶非线性偏微分方程 一种简便方法 精确解 非行波 

分 类 号：O175.8[理学—数学]