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Multi-component bi-Hamiltonian Dirac integrable equations

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  • Ma, Wen-Xiu

Abstract

A specific matrix iso-spectral problem of arbitrary order is introduced and an associated hierarchy of multi-component Dirac integrable equations is constructed within the framework of zero curvature equations. The bi-Hamiltonian structure of the obtained Dirac hierarchy is presented be means of the variational trace identity. Two examples in the cases of lower order are computed.

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  • Ma, Wen-Xiu, 2009. "Multi-component bi-Hamiltonian Dirac integrable equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 282-287.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:282-287
    DOI: 10.1016/j.chaos.2007.01.097
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    Cited by:

    1. Yu-Shan Bai & Peng-Xiang Su & Wen-Xiu Ma, 2021. "N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions," Mathematics, MDPI, vol. 9(7), pages 1-13, March.
    2. Yang, Yu & Qin, Shijie & Liao, Shijun, 2023. "Ultra-chaos of a mobile robot: A higher disorder than normal-chaos," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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