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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

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

by
Zitian Li
1,*,
Zhengde Dai
2 and
Jun Liu
1
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.
Math. Comput. Appl. 2010, 15(5), 877-882; https://doi.org/10.3390/mca15050877
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

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

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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. https://doi.org/10.3390/mca15050877

AMA Style

Li Z, Dai Z, Liu J. New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation. Mathematical and Computational Applications. 2010; 15(5):877-882. https://doi.org/10.3390/mca15050877

Chicago/Turabian Style

Li, Zitian, Zhengde Dai, and Jun Liu. 2010. "New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation" Mathematical and Computational Applications 15, no. 5: 877-882. https://doi.org/10.3390/mca15050877

APA Style

Li, Z., Dai, Z., & Liu, J. (2010). New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation. Mathematical and Computational Applications, 15(5), 877-882. https://doi.org/10.3390/mca15050877

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