Prolongation structure of the variable coefficient KdV equation

Yun Qing Yang; Yong Chen

doi:10.1088/1674-1056/20/1/010206

Prolongation structure of the variable coefficient KdV equation

Yun Qing Yang
, Yong Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

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

2 Scopus citations

Abstract

The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable- coefficient KdV equation are derived.

Original language	English
Article number	010206
Journal	Chinese Physics B
Volume	20
Issue number	1
DOIs	https://doi.org/10.1088/1674-1056/20/1/010206
State	Published - Jan 2011

Keywords

Lax pairs
Prolongation structure
variable-coefficient KdV equation

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10.1088/1674-1056/20/1/010206

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title = "Prolongation structure of the variable coefficient KdV equation",

abstract = "The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable- coefficient KdV equation are derived.",

keywords = "Lax pairs, Prolongation structure, variable-coefficient KdV equation",

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AB - The prolongation structure methodologies of Wahlquist-Estabrook [Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1] for nonlinear differential equations are applied to a variable-coefficient KdV equation. Based on the obtained prolongation structure, a Lie algebra with five parameters is constructed. Under certain conditions, a Lie algebra representation and three kinds of Lax pairs for the variable- coefficient KdV equation are derived.

KW - Lax pairs

KW - Prolongation structure

KW - variable-coefficient KdV equation

UR - https://www.scopus.com/pages/publications/79952389777

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DO - 10.1088/1674-1056/20/1/010206

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VL - 20

JO - Chinese Physics B

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Prolongation structure of the variable coefficient KdV equation

Abstract

Keywords

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