Binary Bell polynomial application in generalized （2＋1）-dimensional KdV equation with variable coefficients

In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized （2＋1）-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear Backlund transformatio...

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Bibliographic Details
Published in:中国物理：英文版 2011, Vol.20 (11), p.34-40
Main Author: 张翼 魏薇薇 程腾飞 宋洋
Format: Article
Language:English
Subjects:
Backlund变换
Lax对
二进制
变系数KdV方程
广义多项式
应用程序
贝尔
非线性演化方程
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Summary:In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized （2＋1）-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear Backlund transformation and the Lax pair are obtained in a quick and natural manner. Moreover, the infinite conservation laws are also derived.
ISSN:1674-1056
2058-3834