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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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