CIMS论文的天地

 

注意:本论文已在《Physics Letters A》杂志2000年第277期212-218页发表
使用者请注明论文出处

(SCI收录本文)

范恩贵
(复旦大学 数学系,上海   200433

 摘要:我们给出一种广义Tanh函数法,可用于得到非线性方程多种行波解,有趣的是其中一个参数的符号可用于判断行波解的形状和数量。
关键词

Extended tanh-function method and its applications to nonlinear equations

Engui Fan
Physics Letters A 277 (2000) 212–218

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 26 July 2000; received in revised form 25 October 2000; accepted 25 October 2000

Communicated by C.R. Doering

Abstract:An extended tanh-function method is proposed for constructing multiple travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The key idea of this method is to take full advantages of a Riccati equation involving a parameter and use its solutions to replace the tanh function in the tanh-function method. It is quite interesting that the sign of the parameter can be used to exactly judge the numbers and types of these travelling wave solutions. In addition, by introducing appropriate transformations, it is shown that the extended tanh-function method still is applicable to nonlinear PDEs whose balancing numbers may be any nonzero real numbers. Some illustrative equations are investigated by this means and new travelling wave solutions are found. 
Keywords:
Nonlinear partial differential equation; Travelling wave solution; Riccati equation; Symbolic computation

 

1、浏览全文需要使用软件--Abode Acrobat(由于软件较大并常见,我站不提供下载)

2、下载论文全文请点击(68KB)


本站收录的本文作者的其他论文:

1、The zero curvature representation for hierarchies of nonlinear evolution equations

2、Two new applications of the homogeneous balance method

3、Soliton solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled MKdV equation

4、Gerjikov-Ivanov 方程的Darboux变换和孤子解

5、导数Schrodinger型方程族及其多Hamilton结构

 更多相关论文请点击本站的<<<站内全文搜索>>>查找

欢迎您参加讨论,发表您对此论文及其研究领域的看法!
(请在发言时在标题中使用所点评的论文的题目或研究方向,这样方便大家浏览!)

返回首页 | CIMS论文 | 并行工程 | 虚拟制造 | 敏捷制造 | 其他论文 | 项目开发 | 学术资源 | 站内全文搜索 | 免费论文网站大全 |

line.gif (4535 字节)

为了更好的为大家服务,欢迎您参加本站的投票调查

>>>>参加更多投票调查请点击!

本站永久域名:http://www.cimspaper.com欢迎访问

注意:本站内容未经书面允许不得转载

All rights reserved, all contents copyright 2000-2019
本站自2000年3月总网页访问量为