The result obtained can be used solve other nonlinear partial differential equations.
这些结果说明，所用方法可用来求解一类非线性偏微分方程。
Many of these models can be described properly by nonlinear partial differential equations.
其中很多模型可以用非线性偏微分方程来很好地描述。
In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.
第一章中我们简述了一些研究非线性偏微分方程精确解的方法。
Many problems in the field of science and engineering can be attributed to study of the nonlinear partial differential equations.
自然科学和工程技术中的许多问题都可归结为对非线性偏微分方程的研究。
The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.
其数学模型是一组多层对流扩散耦合系统的动边值问题。
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
The mathematical model describing the profiles of concentration in the cylindrical catalyst is the nonlinear partial differential equations of second order.
在圆柱状催化剂内的浓度分布的表征方程为二阶偏微分方程组。
The nonlinear partial differential equations for the tall pier vibration of railway bridges are derived by taking the influence of geometric nonlinearity into consideration, i.
以铁路高桥墩为研究对象 ，导出了计轴力及内力素方向改变所致非线性项的高桥墩振动偏微分方程。
We made the following research in image denoising based on PDEs. On the solution of nonlinear partial differential equations, the check-board finite difference scheme is introduced.
本文在基于偏微分方程的图像去噪方面进行了以下的研究：就非线性扩散偏微分方程的解法，引入了跳点有限差分格式。
The models are characterised by an initial-boundary value problems of a system of nonlinear partial differential equations on the abnormal pressure and the paleotemperature of the formation.
盆地模拟的数学模型是一组关于地层超压和古温度的非线性偏微分方程初边值问题。
Many mathematical models in the fields of physics, chemistry, biology and geology can be boiled down to the fixed solution problem of linear or nonlinear partial differential equations (PDE.)
物理、化学、生物、地质等领域的很多模型都可归结为线性或非线性偏微分方程的定解问题。
In this paper we improve some key steps in the homogeneous balance method, then by using this method we are able to obtain multiple soliton solutions of some nonlinear partial differential equations.
对齐次平衡法的一些关键步骤进行拓宽，获得了一系列非线性方程的多孤子解，使得对非线性方程的多孤子解的求解方法更加直接，且许多步骤可以利用计算机完成。
The key of image nonlinear diffusion filtering based on PDE (Partial Differential Equations) is to determine the appropriate diffusion mechanism and parameters.
基于偏微分方程的图像非线性扩散滤波，关键是确定合适的扩散机制与参量。
The oscillations for a class of nonlinear neutral delay partial differential equations with continuous distributed deviating arguments is discussed.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
These partial differential equations are all nonlinear harmonic equations.
这两个偏微分方程都是非线性调和方程。
First, the partial differential equations are transformed into discrete space, discrete time nonlinear difference equations through characteristic method and finite difference approach.
首先，通过特征线法和有限差分法得到了时间离散和空间离散的非线性状态方程。
This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations.
本文研究一类非线性抛物型偏泛函微分方程的渐近行为。
In this paper, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
The governing partial differential equations were discretized by finite volumes and the nonlinear algebraic equations were solved by a block implicit algorithm.
用有限体积法离散控制方程，用块隐式法求解离散后的代数方程组。
In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay.
该文获得了一类具有连续偏差变元的二阶非线性偏泛函微分方程的振动性的充分性条件。
In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay.
该文获得了一类具有连续偏差变元的二阶非线性偏泛函微分方程的振动性的充分性条件。
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