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Some new integrable systems of two-component fifth-order equations

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Abstract

In this work, we develop some fifth-order integrable coupled systems of weight 0 and 1 which possess seventh-order symmetry. We establish four new systems, where in some cases, related recursion operator and bi-Hamiltonian formulations are given. We also investigate the integrability of the developed systems.

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Authors and Affiliations

  1. Department of Engineering Physics, Ankara University, 06100, Tandogan, Ankara, Turkey

    Daryoush Talati

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

    Abdul-Majid Wazwaz

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  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 new integrable systems of two-component fifth-order equations. Nonlinear Dyn 87, 1111–1120 (2017). https://doi.org/10.1007/s11071-016-3101-x

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  • DOI: https://doi.org/10.1007/s11071-016-3101-x

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