非线性薛定谔方程的几何性质

兰州大学机构库 >数学与统计学院

	非线性薛定谔方程的几何性质
Alternative Title	The Geometric Properties of Nonlinear Schrödinger Equation
	王骥骏
Thesis Advisor	赵敦
	2014-06-22
Degree Grantor	兰州大学
Place of Conferral	兰州
Degree Name	学士
Keyword	非线性薛定谔方程常挠率参数曲面快速傅里叶变换 MATLAB
Abstract	非线性薛定谔方程不仅在孤立子研究中具有十分重要的意义，而且具有广泛的应用背景；许多物理问题的数学模型都可以归结为非线性薛定谔方程。本文从微分几何的角度考察非线性薛定谔方程，研究其孤子曲面的几何特性；最后基于MATLAB，采用有限快速傅里叶变换算法，得到非线性薛定谔方程的数值解及仿真曲面。
Other Abstract	Nonlinear schrodinger equation not only has the extremely vital significance in the study of soliton theory, but also has a wide application background. The mathematical model of many physical problems can be attributed to NLS equation. In this paper,we summarise the disscussion on the NLS equation from the view of differential geometry method to study characteristics of the soliton surfaces. We also get the numerical solution and the simulation curve via the finite Fast Fourier Transform (FFT) Algorithm based on MATLAB.
URL	查看原文
Language	中文
Document Type	学位论文
Identifier	https://ir.lzu.edu.cn/handle/262010/225448
Collection	数学与统计学院
Recommended Citation GB/T 7714	王骥骏. 非线性薛定谔方程的几何性质[D]. 兰州. 兰州大学,2014.

Files in This Item:
There are no files associated with this item.

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Institution:
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh

数学与统计学院知识库