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Mathematical Problems in Engineering
Volume 2014, Article ID 156483, 5 pages
http://dx.doi.org/10.1155/2014/156483
Research Article

Joint Application of Bilinear Operator and F-Expansion Method for ()-Dimensional Kadomtsev-Petviashvili Equation

Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China

Received 5 August 2014; Accepted 2 November 2014; Published 23 November 2014

Academic Editor: Marcelo M. Cavalcanti

Copyright © 2014 Shaolin Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The bilinear operator and F-expansion method are applied jointly to study ()-dimensional Kadomtsev-Petviashvili (KP) equation. An exact cusped solitary wave solution is obtained by using the extended single-soliton test function and its mechanical feature which blows up periodically in finite time for cusped solitary wave is investigated. By constructing the extended double-soliton test function, a new type of exact traveling wave solution describing the assimilation of solitary wave and periodic traveling wave is also presented. Our results validate the effectiveness for joint application of the bilinear operator and F-expansion method.