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Negative-Order KdV and Negative-Order KP Equations: Multiple Soliton Solutions

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Abstract

The negative-order Korteweg-de Vries (nKdV) equation and negative-order Kadomtsev–Petvishvili (nKP) equation in (2+1) dimensions are developed. We use the simplified form of the Hirota’s direct method to derive multiple soliton solutions for both nKdV and the nKP equations. Multiple soliton solutions for the nKdV equation exist for free coefficients . However, constraint conditions that will guarantee the existence of multiple soliton solutions for the nKP equation are investigated.

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Authors and Affiliations

  1. Saint Xavier University, Chicago, IL, 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 KdV and Negative-Order KP Equations: Multiple Soliton Solutions. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 87, 291–296 (2017). https://doi.org/10.1007/s40010-017-0349-6

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  • DOI: https://doi.org/10.1007/s40010-017-0349-6

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