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Negative-order integrable modified KdV equations of higher orders

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Abstract

A variety of negative-order integrable modified KdV (mKdV) equations of higher orders is constructed. The inverse profile of the recursion operator of the modified KdV equation is invested to develop these new integrable equations. The correlation between integrability and recursion operators is demonstrated. We employ the bilinear method for obtaining multiple-soliton solutions for the generalized developed equation.

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

    Abdul-Majid Wazwaz

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  1. Abdul-Majid Wazwaz
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Correspondence to Abdul-Majid Wazwaz.

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Wazwaz, AM. Negative-order integrable modified KdV equations of higher orders. Nonlinear Dyn 93, 1371–1376 (2018). https://doi.org/10.1007/s11071-018-4265-3

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  • DOI: https://doi.org/10.1007/s11071-018-4265-3

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