Bell-Polynomial Approach and Soliton Solutions for Some Higher-Order Korteweg-de Vries Equations in Fluid Mechanics,Plasma Physics and Lattice Dynamics

The Korteweg-de Vries(Kd V)-type equations have been seen in fluid mechanics,plasma physics and lattice dynamics,etc. This paper will address the bilinearization problem for some higher-order Kd V equations. Based on the relationship between the bilinear method and Bell-polynomial scheme,with introd...

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Bibliographic Details
Published in:理论物理通讯：英文版 2015 (12), p.630-636
Main Author: 李鹤 高以天 刘立才
Format: Article
Language:English
Subjects:
equations
Bell-polynomial
a
Korteweg-de
Vries-type
Online Access:Get full text
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Summary:The Korteweg-de Vries(Kd V)-type equations have been seen in fluid mechanics,plasma physics and lattice dynamics,etc. This paper will address the bilinearization problem for some higher-order Kd V equations. Based on the relationship between the bilinear method and Bell-polynomial scheme,with introducing an auxiliary independent variable,we will present the general bilinear forms. By virtue of the symbolic computation,one-and two-soliton solutions are derived.
ISSN:0253-6102