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

Zitian Li; Zhengde Dai; Jun Liu

doi:10.3390/mca15050877

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Article

31 December 2010

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

and

College of Mathematics and Information Science Qujing Normal University, Qujing Yunnan 655011, China

School of Mathematics and Statistics, Yunnan University, KunmingYunnan 650091, China

Author to whom correspondence should be addressed.

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

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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

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