期刊
PHYSICA SCRIPTA
卷 81, 期 4, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0031-8949/81/04/045402
关键词
-
资金
- National Natural Science Foundation of China [60772023]
- Open Fund of the State Key Laboratory of Software Development Environment [BUAA-SKLSDE-09KF-04]
- Beijing University of Aeronautics and Astronautics
- National Basic Research Program of China [2005CB321901]
- Specialized Research Fund for the Doctoral Program of Higher Education [20060006024, 200800130006]
- Chinese Ministry of Education
In this paper, a generalized variable-coefficient fifth-order Korteweg-de Vries equation is investigated. Based on the Hirota bilinear method and symbolic computation, the N-soliton solutions, Backlund transformation and Lax pair are presented. Furthermore, the characteristic-line method is applied to discuss the solitonic propagation and collision under the effects of the variable coefficients, from which the following conclusions can be derived: (i) solitonic amplitude decreases as the positive coefficient of the line-damping term increases; (ii) coefficients of the dispersive and dissipative terms determine the solitonic direction and speed by changing the sign and absolute value of the solitonic velocity; (iii) the appearances of the characteristic lines depend on the forms of the variable coefficients.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据