Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation

Xiazhi Hao; Yinping Liu; Xiaoyan Tang; Zhibin Li

doi:10.1142/S0217984916502936

Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation

Xiazhi Hao, Yinping Liu^*, Xiaoyan Tang, Zhibin Li

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

4 Scopus citations

Abstract

The nonlocal symmetries of the residual symmetry and the spectral function symmetry of Sawada-Kotera (SK) equation can be derived from the truncated Painlevé expansion and the Lax pair, respectively. By localizing the nonlocal symmetries of the original system to local ones of the prolonged system, the Bäcklund transformation and the Darboux transformation for both the original and the prolonged systems are obtained. Moreover, by the truncated Painlevé expansion, we further study the integrability of the SK quation in the sense of having a consistent Riccati expansion (CRE).

Original language	English
Article number	1650293
Journal	Modern Physics Letters B
Volume	30
Issue number	23
DOIs	https://doi.org/10.1142/S0217984916502936
State	Published - 30 Aug 2016

Keywords

Residual symmetry
consistent Riccati expansion
spectral function symmetry

Access to Document

10.1142/S0217984916502936

Cite this

@article{f6295cd7dafe4222bb5223f4828ff7d3,

title = "Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation",

abstract = "The nonlocal symmetries of the residual symmetry and the spectral function symmetry of Sawada-Kotera (SK) equation can be derived from the truncated Painlev{\'e} expansion and the Lax pair, respectively. By localizing the nonlocal symmetries of the original system to local ones of the prolonged system, the B{\"a}cklund transformation and the Darboux transformation for both the original and the prolonged systems are obtained. Moreover, by the truncated Painlev{\'e} expansion, we further study the integrability of the SK quation in the sense of having a consistent Riccati expansion (CRE).",

keywords = "Residual symmetry, consistent Riccati expansion, spectral function symmetry",

author = "Xiazhi Hao and Yinping Liu and Xiaoyan Tang and Zhibin Li",

note = "Publisher Copyright: {\textcopyright} 2016 World Scientific Publishing Company.",

year = "2016",

month = aug,

day = "30",

doi = "10.1142/S0217984916502936",

language = "英语",

volume = "30",

journal = "Modern Physics Letters B",

issn = "0217-9849",

publisher = "World Scientific",

number = "23",

}

TY - JOUR

T1 - Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation

AU - Hao, Xiazhi

AU - Liu, Yinping

AU - Tang, Xiaoyan

AU - Li, Zhibin

PY - 2016/8/30

Y1 - 2016/8/30

N2 - The nonlocal symmetries of the residual symmetry and the spectral function symmetry of Sawada-Kotera (SK) equation can be derived from the truncated Painlevé expansion and the Lax pair, respectively. By localizing the nonlocal symmetries of the original system to local ones of the prolonged system, the Bäcklund transformation and the Darboux transformation for both the original and the prolonged systems are obtained. Moreover, by the truncated Painlevé expansion, we further study the integrability of the SK quation in the sense of having a consistent Riccati expansion (CRE).

AB - The nonlocal symmetries of the residual symmetry and the spectral function symmetry of Sawada-Kotera (SK) equation can be derived from the truncated Painlevé expansion and the Lax pair, respectively. By localizing the nonlocal symmetries of the original system to local ones of the prolonged system, the Bäcklund transformation and the Darboux transformation for both the original and the prolonged systems are obtained. Moreover, by the truncated Painlevé expansion, we further study the integrability of the SK quation in the sense of having a consistent Riccati expansion (CRE).

KW - Residual symmetry

KW - consistent Riccati expansion

KW - spectral function symmetry

UR - https://www.scopus.com/pages/publications/85019446704

U2 - 10.1142/S0217984916502936

DO - 10.1142/S0217984916502936

M3 - 文章

AN - SCOPUS:85019446704

SN - 0217-9849

VL - 30

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 23

M1 - 1650293

ER -

Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this