On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation

Cewen Cao; Yongtang Wu; Xianguo Geng

doi:10.1016/S0375-9601(99)00201-7

On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation

Cewen Cao^*, Yongtang Wu, Xianguo Geng

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

64 Citations (Scopus)

Abstract

The 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. The Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation are obtained in terms of Riemann theta functions.

Original language	English
Pages (from-to)	59-65
Number of pages	7
Journal	Physics Letters A
Volume	256
Issue number	1
DOIs	https://doi.org/10.1016/S0375-9601(99)00201-7
Publication status	Published - 24 May 1999
Externally published	Yes

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10.1016/S0375-9601(99)00201-7

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title = "On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation",

abstract = "The 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. The Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation are obtained in terms of Riemann theta functions.",

author = "Cewen Cao and Yongtang Wu and Xianguo Geng",

note = "Funding Information: This work was partially supported by Hong Kong RGC/97-98/21. Project 19671074 was supported by National Natural Science Foundation of China. One of the authors (X.G. Geng) would like to thank the Henan Science Foundation Committee of China for financial support.",

year = "1999",

month = may,

day = "24",

doi = "10.1016/S0375-9601(99)00201-7",

language = "English",

volume = "256",

pages = "59--65",

journal = "Physics Letters A",

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T1 - On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation

AU - Cao, Cewen

AU - Wu, Yongtang

AU - Geng, Xianguo

N1 - Funding Information: This work was partially supported by Hong Kong RGC/97-98/21. Project 19671074 was supported by National Natural Science Foundation of China. One of the authors (X.G. Geng) would like to thank the Henan Science Foundation Committee of China for financial support.

PY - 1999/5/24

Y1 - 1999/5/24

N2 - The 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. The Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation are obtained in terms of Riemann theta functions.

AB - The 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. The Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation are obtained in terms of Riemann theta functions.

UR - http://www.scopus.com/inward/record.url?scp=0002682063&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(99)00201-7

DO - 10.1016/S0375-9601(99)00201-7

M3 - Journal article

AN - SCOPUS:0002682063

SN - 0375-9601

VL - 256

SP - 59

EP - 65

JO - Physics Letters A

JF - Physics Letters A

IS - 1

ER -

On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation

Abstract

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