线性偏微分方程,linear partial differential Equation

1)linear partial differential Equation
线性偏微分方程
1.
To the double independent real variable linear partial differential equation (system of equations ) , a sufficient condition for the existence of the harmonic function solution is supplied, and a method of how to obtain this harmonic solution under this condition is given.
给出具有两个实自变数的未知函数的线性偏微分方程（组）调和函数解存在的一个充分条件，及在此条件下方程（组）调和函数解的简化求法。


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2)nonlinear system of partial differential equations
非线性偏微分微方程组

3)semilinear integro-partial differential equations
半线性积分-偏微分方程

4)nonlinear partial integral differential equation
非线性偏积分微分方程
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5)nonlinear partial differential equation
非线性偏微分方程
1.
Classification of Bcklund transformations among second-order nonlinear partial differential equations;
二阶非线性偏微分方程之间Bcklund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。


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6)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

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线性偏微分方程,linear partial differential Equation