Two-component Wadati-Konno-Ichikawa equation and its symmetry reductions

Chang Zheng Qu; Ruo Xia Yao; Zhi Bin Li

doi:10.1088/0256-307X/21/11/002

Two-component Wadati-Konno-Ichikawa equation and its symmetry reductions

Chang Zheng Qu^*
, Ruo Xia Yao
, Zhi Bin Li

^*Corresponding author for this work

School of Mathematical Sciences

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

14 Scopus citations

Abstract

It is shown that two-component Wadati-Konno-Ichikawa (WKI) equation, i.e. a generalization of the well-known WKI equation, is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. Group-invariant solutions of the two-component WKI equation which corresponds to an optimal system of its Lie point symmetry groups are obtained, and its similarity reductions to systems of ordinary differential equations are also given.

Original language	English
Pages (from-to)	2077-2080
Number of pages	4
Journal	Chinese Physics Letters
Volume	21
Issue number	11
DOIs	https://doi.org/10.1088/0256-307X/21/11/002
State	Published - Nov 2004

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title = "Two-component Wadati-Konno-Ichikawa equation and its symmetry reductions",

abstract = "It is shown that two-component Wadati-Konno-Ichikawa (WKI) equation, i.e. a generalization of the well-known WKI equation, is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. Group-invariant solutions of the two-component WKI equation which corresponds to an optimal system of its Lie point symmetry groups are obtained, and its similarity reductions to systems of ordinary differential equations are also given.",

author = "Qu, \{Chang Zheng\} and Yao, \{Ruo Xia\} and Li, \{Zhi Bin\}",

year = "2004",

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AU - Qu, Chang Zheng

AU - Yao, Ruo Xia

AU - Li, Zhi Bin

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Y1 - 2004/11

N2 - It is shown that two-component Wadati-Konno-Ichikawa (WKI) equation, i.e. a generalization of the well-known WKI equation, is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. Group-invariant solutions of the two-component WKI equation which corresponds to an optimal system of its Lie point symmetry groups are obtained, and its similarity reductions to systems of ordinary differential equations are also given.

AB - It is shown that two-component Wadati-Konno-Ichikawa (WKI) equation, i.e. a generalization of the well-known WKI equation, is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. Group-invariant solutions of the two-component WKI equation which corresponds to an optimal system of its Lie point symmetry groups are obtained, and its similarity reductions to systems of ordinary differential equations are also given.

UR - https://www.scopus.com/pages/publications/8744269256

U2 - 10.1088/0256-307X/21/11/002

DO - 10.1088/0256-307X/21/11/002

M3 - 文章

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SN - 0256-307X

VL - 21

SP - 2077

EP - 2080

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 11

ER -

Two-component Wadati-Konno-Ichikawa equation and its symmetry reductions

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