Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property

Xiangke Chang; Yi He; Xingbiao Hu; Shihao Li; Hon wah Tam; Yingnan Zhang

doi:10.1007/s11425-016-9072-0

Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property

Xiangke Chang
, Yi He^*
, Xingbiao Hu
, Shihao Li
, Hon wah Tam
, Yingnan Zhang

^*Corresponding author for this work

Department of Computer Science

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

4 Citations (Scopus)

Abstract

In this paper, we show that the coupled modified KdV equations possess rich mathematical structures and some remarkable properties. The connections between the system and skew orthogonal polynomials, convergence acceleration algorithms and Laurent property are discussed in detail.

Original language	English
Pages (from-to)	1063-1078
Number of pages	16
Journal	Science China Mathematics
Volume	61
Issue number	6
DOIs	https://doi.org/10.1007/s11425-016-9072-0
Publication status	Published - 1 Jun 2018

User-Defined Keywords

convergence acceleration algorithm
integrable system
Laurent property
skew orthogonal polynomial

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10.1007/s11425-016-9072-0

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title = "Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property",

abstract = "In this paper, we show that the coupled modified KdV equations possess rich mathematical structures and some remarkable properties. The connections between the system and skew orthogonal polynomials, convergence acceleration algorithms and Laurent property are discussed in detail.",

keywords = "convergence acceleration algorithm, integrable system, Laurent property, skew orthogonal polynomial",

author = "Xiangke Chang and Yi He and Xingbiao Hu and Shihao Li and Tam, \{Hon wah\} and Yingnan Zhang",

note = "Funding Information: Acknowledgements This work was supported by National Natural Science Foundation of China (Grant Nos. 11331008, 11201469, 11571358 and 11601237), the China Postdoctoral Science Foundation Funded Project (Grant Nos. 2012M510186 and 2013T60761), and the Hong Kong Research Grant Council (Grant No. GRF HKBU 202512).",

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doi = "10.1007/s11425-016-9072-0",

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T1 - Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property

AU - Chang, Xiangke

AU - He, Yi

AU - Hu, Xingbiao

AU - Li, Shihao

AU - Tam, Hon wah

AU - Zhang, Yingnan

N1 - Funding Information: Acknowledgements This work was supported by National Natural Science Foundation of China (Grant Nos. 11331008, 11201469, 11571358 and 11601237), the China Postdoctoral Science Foundation Funded Project (Grant Nos. 2012M510186 and 2013T60761), and the Hong Kong Research Grant Council (Grant No. GRF HKBU 202512).

PY - 2018/6/1

Y1 - 2018/6/1

N2 - In this paper, we show that the coupled modified KdV equations possess rich mathematical structures and some remarkable properties. The connections between the system and skew orthogonal polynomials, convergence acceleration algorithms and Laurent property are discussed in detail.

AB - In this paper, we show that the coupled modified KdV equations possess rich mathematical structures and some remarkable properties. The connections between the system and skew orthogonal polynomials, convergence acceleration algorithms and Laurent property are discussed in detail.

KW - convergence acceleration algorithm

KW - integrable system

KW - Laurent property

KW - skew orthogonal polynomial

UR - https://www.scopus.com/pages/publications/85044734821

U2 - 10.1007/s11425-016-9072-0

DO - 10.1007/s11425-016-9072-0

M3 - Journal article

AN - SCOPUS:85044734821

SN - 1674-7283

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EP - 1078

JO - Science China Mathematics

JF - Science China Mathematics

IS - 6

ER -

Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property

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