Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method

In this work we use the Hirota's direct method combined with the simplified version of this method to determine the N-soliton solutions, N = 1, 2, 3, 4, 5 for the Kadomtsev-Petviaslivili (KP) equation. The one-soliton solutions will be handled by the tanh-coth method. The work emphasizes the power of the two methods that will be used. (c) 2007 Elsevier Inc. All rights reserved.