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Math. Comput. Appl. 2010, 15(5), 877-882; doi:10.3390/mca15050877

New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation

1
College of Mathematics and Information Science Qujing Normal University, Qujing Yunnan 655011, China
2
School of Mathematics and Statistics, Yunnan University, KunmingYunnan 650091, China
*
Author to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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Abstract

By the extended homoclinic test technique, explicit solutions of the (3+1)-dimensional Kadomtsev-Petviashvili(KP) equation are obtained. These solutions include doubly periodic wave solutions, doubly soliton solutions and periodic solitary-wave solutions. It is shown that the extended homoclinic test technique is a straightforward and powerful mathematical tool for solving nonlinear evolution equation.
Keywords: Extended homoclinic test; Doubly periodic; Soliton; Periodic solitary wave Extended homoclinic test; Doubly periodic; Soliton; Periodic solitary wave
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Li, Z.; Dai, Z.; Liu, J. New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation. Math. Comput. Appl. 2010, 15, 877-882.

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