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Kadomtsev–Petviashvili hierarchy: two integrable equations with time-dependent coefficients

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Abstract

In this paper, we investigate two members of the Kadomtsev–Petviashvili (KP) hierarchy, each with time-dependent coefficients. We use the Painlevé analysis and the WTC–Kruskal method to study the compatibility conditions to ensure the integrability of each equation. We use the simplified Hirota’s method to derive multiple soliton solutions for each equation.

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Authors and Affiliations

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

    Abdul-Majid Wazwaz

  2. Department of Information Management, School of Management, Shanghai University, Shanghai, 200444, China

    Gui-Qiong Xu

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  1. Abdul-Majid Wazwaz
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  2. Gui-Qiong Xu
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Correspondence to Abdul-Majid Wazwaz.

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Wazwaz, AM., Xu, GQ. Kadomtsev–Petviashvili hierarchy: two integrable equations with time-dependent coefficients. Nonlinear Dyn 100, 3711–3716 (2020). https://doi.org/10.1007/s11071-020-05708-1

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  • DOI: https://doi.org/10.1007/s11071-020-05708-1

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