Darboux Transformations via Lie Point Symmetries： KdV Equation

By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-Backlund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation.

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Bibliographic Details
Published in:Chinese physics letters 2014, Vol.31 (1), p.1-4
Main Author: 李玉奇 陈俊超 陈勇 楼森岳
Format: Article
Language:English
Subjects:
Backlund变换
Darboux变换
Expansion
KdV方程
Mathematical analysis
Mathematical models
Nonlinearity
Symmetry
Transformations
大系统
局域对称性
本地化
非线性模型
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Description
Summary:By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-Backlund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/31/1/010201