CIMS論文的天地

 

注意:本論文已在《Physics Letters A》雜志2000年第277期212-218頁發表
使用者請注明論文出處

(SCI收錄本文)

范恩貴
(復旦大學 數學系,上海   200433

摘要:我們給出齊次平衡法兩個新的應用,尋找非線性方程的Backlund變換和相似解,其結果與CK方法、WTC方法的結果一致。

Two new applications of the homogeneous balance method

Engui Fan )
 Physics Letters A 265 2000 353–357

Institute of Mathematics, Fudan Uniíersity, Shanghai 200433, China

Received 13 July 1999; received in revised form 3 December 1999; accepted 22 December 1999

Communicated by A.R. Bishop

Abstract:The homogeneous balance method is extended to search for Backlund transformation and similarity reduction of ¨nonlinear partial differential equations. It is shown that there exist close connections among the homogeneous balance method, WTC method and CK direct reduction method. The variant Boussinesq equations are discussed as an illustrative example. Their Backlund transformation, linearization transformation and three types of similarity reductions are obtained. ¨In the meantime, some new travelling wave solutions also are found. q2000 Published by Elsevier Science B.V. All rights reserved.
Keywords:
Homogeneous balance method; Backlund transformation; Similarity reduction; Travelling wave solution¨

 

1、瀏覽全文需要使用軟件--Abode Acrobat(由于軟件較大并常見,我站不提供下載)

2、下載論文全文請點擊(47KB)

 


本站收錄的本文作者的其他論文:

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

2、Extended tanh-function method and its applications to nonlinear equations

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

4、Gerjikov-Ivanov 方程的Darboux變換和孤子解

5、導數Schrodinger型方程族及其多Hamilton結構

 更多相關論文請點擊本站的<<<站內全文搜索>>>查找

 

歡迎您參加討論,發表您對此論文及其研究領域的看法!
(請在發言時在標題中使用所點評的論文的題目或研究方向,這樣方便大家瀏覽!)

返回首頁 | CIMS論文 | 并行工程 | 虛擬制造 | 敏捷制造 | 其他論文 | 項目開發 | 學術資源 | 站內全文搜索 | 免費論文網站大全 |

line.gif (4535 字節)

為了更好的為大家服務,歡迎您參加本站的投票調查

>>>>參加更多投票調查請點擊!

本站永久域名:http://www.sqvswk.live歡迎訪問

注意:本站內容未經書面允許不得轉載

All rights reserved, all contents copyright 2000-2019
本站自2000年3月總網頁訪問量為
pk10开奖记录直播