1) nonlinear partial differential eq uation/ wavelet
非线性偏微分方程/小波
2) nonlinear system of partial differential equations
非线性偏微分微方程组
4) nonlinear partial differential equation
非线性偏微分方程
1.
Classification of Bcklund transformations among second-order nonlinear partial differential equations;
二阶非线性偏微分方程之间Bcklund变换的分类
2.
Based on the Homogeneous Balance Method,four methods to find exact traveling wave solutions of nonlinear partial differential equations are proposed by using trigonometric functions,hyperbolic functions and Mathematica software.
基于齐次平衡法的思想,借助数学软件"Mathematia",利用三角函数、双曲函数和吴消元法建立了四种寻找非线性偏微分方程行波解的方法,方法的基本原理是通过一些特殊的变换,将求方程行波解的问题转化为求代数方程的解问题,并且以复合KdV方程作为例子,介绍了方法及其步骤。
3.
By utilizing the trial function method, a class of nonlinear partial differential equations (PDEs for short) that are hard to be solved by the usual ways can be reduced to a set of algebraic equations, which can be easily solved, and their related coefficients can be easily determined by the undetermined coefficients method.
利用试探函数法,将一个难于求解的非线性偏微分方程化为一个易于求解的代数方程,然后用待定系数法确定相应的常数,简洁地求得了一类非线性偏微分方程的精确解。
5) nonlinear Burgers partial differential equations
Burgers非线性偏微分方程
补充资料：线性偏微分方程
线性偏微分方程
linear partial differential equation
线性偏微分方程脚长，r钾面l击ffi川印血l闰1.腼;“Hue益-uoe八M中中ePe“”一a月‘HoeyP曲He““ee叨acTu‘MunPo:3ao八11“M“」 形式为 F(x，‘’‘，几.，，”‘)一0的方程，其中F是实变量 a“ pi，三不不下石下的线性函数(hn“lrfupction)，i、，二，i。是非负整数指标，艺:一，i，一“，k一o，…，。，川)l，导数 刁F子t —_尹l二m 口Pi、”，’声，中至少有一个不为零. 详细情况，见偏微分方程(difl七化mial闪t以石on，p盯-喇).A.B.价aHoB撰张鸿林译
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