Construction of the exact solitary wave solutionsof the non - linear evolution equations using a new auxiliary equation 新的辅助方程构造非线性发展方程的孤立波解
Computational stability of the explicit difference schemes of the forced dissipative nonlinear evolution equations 强迫耗散非线性发展方程显式差分格式的计算稳定性
6 discuss and study some problems on theories and methods of nonlinear evolution equations in image processing 3共同讨论和研究图像处理中的非线性发展方程的理论和方法方面的问题。
In this pater , we define a new numerical method called the characteristic mixed finite element method for approximating the solution to two kinds of evolution equation 本文针对两类发展方程提出一种新型数值模拟方法? ?特征混合有限元方法。
In chapter one , we consider the characteristics - mixed finite element numerical simulation for the euler equation for an incompressible fluid with zero viscosity in two dimensions 本文讨论了两类发展方程二维不可压无粘流问题和线性积分微分方程的数值模拟。
Chapter2 , : the inverse scattering transform is introduced . its aim is to make the problem of solving a nonlinear evolution equation into the problem of solving three linear equations 第二章介绍散射反演法，它的核心是将非线性发展方程转化为三个线性方程求解。
In fact , many kinds of evolution equations can be generalized by this problem . the former results are improved and generalized by our conclusions . moreover , our results have more applications 这一结论对已有的发展包含及发展方程问题的结论作了改进，推广及补充，并具有一定的实际应用价值。
This paper mainly study some nonlinear evolution equations with physical background by using the homogeneous balance method and the tanh method , based on the soliton theory and method 本文基于现有的孤立子理论与现代计算机技术，运用齐次平衡法及tanh函数法，研究了多种具有物理背景的非线性发展方程。
In chapter 4 , we discuss the asymptotic behavior of the weak solution for the initial boundary value problem of the following love equation where fi is a bounded region in rn with smooth boundary 在第四章中，我们借用位势井的思想讨论非线性发展方程的初边值问题整体弱解的渐近性，其中( ? ) r ~ n并具有充分光滑边界， 0
In this paper we have investigated the soliton theory and chaotic theory . we have also investigated the hyperbola function method , which is based on the soliton theory , to solve the nonlinear evolution equations 本文对非线性物理中的孤立子理论和混沌理论作了初步的探讨，而对基于孤子理论而产生的求解非线性发展方程的双曲函数法作了较深入的研究。
