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

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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.

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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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Authors and Affiliations

  1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Xiangke Chang, Xingbiao Hu & Shihao Li

  2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Xiangke Chang, Xingbiao Hu & Shihao Li

  3. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, 430071, China

    Yi He

  4. Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China

    Hon-wah Tam

  5. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

    Yingnan Zhang

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  1. Xiangke Chang
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  2. Yi He
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  3. Xingbiao Hu
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  4. Shihao Li
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  5. Hon-wah Tam
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Correspondence to Yi He.

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Chang, X., He, Y., Hu, X. et al. Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property. Sci. China Math. 61, 1063–1078 (2018). https://doi.org/10.1007/s11425-016-9072-0

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  • DOI: https://doi.org/10.1007/s11425-016-9072-0

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