, Volume 77, Issue 2, pp 233-242
Date: 02 Aug 2011

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.