Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids

In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variabl...

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Bibliographic Details
Published in:Communications in theoretical physics 2011-04, Vol.55 (4), p.629-634
Main Author: 于鑫 高以天 孙志远 刘颖
Format: Article
Language:English
Subjects:
Backlund变换
Computational fluid dynamics
Conservation laws
Density
Exact solutions
Fluid flow
Fluids
Mathematical analysis
Solitons
五阶KdV方程
守恒定律
广义变系数
德弗里斯
无限序列
流体方程
解析解
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Summary:In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variable coefficients can affect the conserved density, associated flux, and appearance of the characteristic lines. Effects of the wave number on the soliton structures are also discussed and types of soliton structures, e.g., the double-periodic soliton, parallel soliton and soliton complexes, are presented.
ISSN:0253-6102
DOI:10.1088/0253-6102/55/4/20