New Periodic Solitary-Wave Solutions to the (3+1)- Dimensional Kadomtsev-Petviashvili Equation
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College of Mathematics and Information Science Qujing Normal University, Qujing Yunnan 655011, China
2
School of Mathematics and Statistics, Yunnan University, KunmingYunnan 650091, China
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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
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Accepted: 31 December 2010
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Published: 31 December 2010
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.
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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 StyleLi, 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
