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Some classification of non-commutative Integrable Systems

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Abstract

In this work, we develop some non-commutative (NC) second-order integrable coupled systems of weight 1 which possess a third-order symmetry. Two-component second-order NC Burgers-type systems, with non-diagonal constant matrix of leading order terms, are classified for higher symmetries. We obtain new symmetry integrable systems with their master symmetries.

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Authors and Affiliations

  1. Sama Technical and Vocational Training College, Islamic Azad University, Urmia, Iran

    Daryoush Talati

  2. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

Authors
  1. Daryoush Talati
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  2. Abdul-Majid Wazwaz
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Correspondence to Abdul-Majid Wazwaz.

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Talati, D., Wazwaz, AM. Some classification of non-commutative Integrable Systems. Nonlinear Dyn 88, 1487–1492 (2017). https://doi.org/10.1007/s11071-016-3324-x

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  • DOI: https://doi.org/10.1007/s11071-016-3324-x

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