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Generalized fractional supertrace identity for Hamiltonian structure of NLS–MKdV hierarchy with self-consistent sources

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Abstract

In the paper, based on the modified Riemann–Liouville fractional derivative and Tu scheme, the fractional super NLS–MKdV hierarchy is derived, especially the self-consistent sources term is considered. Meanwhile, the generalized fractional supertrace identity is proposed, which is a beneficial supplement to the existing literature on integrable system. As an application, the super Hamiltonian structure of fractional super NLS–MKdV hierarchy is obtained.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Nos. 11271007, 41476019), Special Funds for Theoretical Physics of the National Natural Science Foundation of China (No. 11447205), SDUST Research Fund (No. 2012KYTD105).

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Authors and Affiliations

  1. College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, 266590, China

    Huan He Dong & Bao Yong Guo

  2. Institute of Oceanology, China Academy of Sciences, Qingdao, 266071, China

    Bao Shu Yin

  3. Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao, 266071, China

    Bao Shu Yin

Authors
  1. Huan He Dong
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  2. Bao Yong Guo
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  3. Bao Shu Yin
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Correspondence to Bao Yong Guo.

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Dong, H.H., Guo, B.Y. & Yin, B.S. Generalized fractional supertrace identity for Hamiltonian structure of NLS–MKdV hierarchy with self-consistent sources. Anal.Math.Phys. 6, 199–209 (2016). https://doi.org/10.1007/s13324-015-0115-3

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  • DOI: https://doi.org/10.1007/s13324-015-0115-3

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