Darboux Transformations via Lie Point Symmetries: KdV Equation

Yu Qi Li; Jun Chao Chen; Yong Chen; Sen Yue Lou

doi:10.1088/0256-307X/31/1/010201

Darboux Transformations via Lie Point Symmetries: KdV Equation

Yu Qi Li
, Jun Chao Chen
, Yong Chen
, Sen Yue Lou^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

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

Original language	English
Article number	010201
Journal	Chinese Physics Letters
Volume	31
Issue number	1
DOIs	https://doi.org/10.1088/0256-307X/31/1/010201
State	Published - Jan 2014

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title = "Darboux Transformations via Lie Point Symmetries: KdV Equation",

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

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

UR - https://www.scopus.com/pages/publications/84892943627

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DO - 10.1088/0256-307X/31/1/010201

M3 - 文章

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JO - Chinese Physics Letters

JF - Chinese Physics Letters

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Darboux Transformations via Lie Point Symmetries: KdV Equation

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