A Method to Generate New Exact Solutions from a Known Stationary Solution
LIU Zeng-rong, HUANG De-bin
Departement of Mathmatics, Shanghai University, Shanghai 201800
also LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
A Method to Generate New Exact Solutions from a Known Stationary Solution
LIU Zeng-rong;HUANG De-bin
Departement of Mathmatics, Shanghai University, Shanghai 201800
also LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
关键词 ：
02.30.Jr ,
02.30.Hq
Abstract ： By combining the Backlund transformations and the AKNS system [Study in Appl. Math. 53 (1974) 249.] which is a linear eigenvalue problem of the corresponding evolution equation, a method to find new exact solutions from known stationary solutions for nonlinear integrable equations is proposed. As an example, Korteweg de Vries (KdV) equation is used to illustrate this method, and a class of new exact solutions of KdV equation is obtained.
Key words ：
02.30.Jr
02.30.Hq
出版日期: 1999-05-01
:
02.30.Jr
(Partial differential equations)
02.30.Hq
(Ordinary differential equations)
引用本文:
LIU Zeng-rong;HUANG De-bin. A Method to Generate New Exact Solutions from a Known Stationary Solution[J]. 中国物理快报, 1999, 16(5): 313-315.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y1999/V16/I5/313
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1999, Vol. 16 
