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Integrability of two coupled Kadomtsev–Petviashvili equations

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Abstract

The integrability of two coupled KP equations is studied. The simplified Hereman form of Hirota’s bilinear method is used to examine the integrability of each coupled equation. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV 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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WAZWAZ, AM. Integrability of two coupled Kadomtsev–Petviashvili equations. Pramana - J Phys 77, 233–242 (2011). https://doi.org/10.1007/s12043-011-0141-0

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  • DOI: https://doi.org/10.1007/s12043-011-0141-0

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