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Multiple soliton solutions for the integrable couplings of the KdV and the KP equations

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Central European Journal of Physics

Abstract

In this work, we study the nonlinear integrable couplings of the KdV and the Kadomtsev-Petviashvili (KP) equations. The simplified Hirota’s method will be used for this study. We show that these couplings possess multiple soliton solutions the same as the multiple soliton solutions of the KdV and the KP equations, but differ only in the coefficients of the transformation used. This difference exhibits soliton solutions for some equations and anti-soliton solutions for others.

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Authors and Affiliations

  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. Multiple soliton solutions for the integrable couplings of the KdV and the KP equations. centr.eur.j.phys. 11, 291–295 (2013). https://doi.org/10.2478/s11534-013-0183-7

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  • DOI: https://doi.org/10.2478/s11534-013-0183-7

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