Quasi-periodic solutions of (3+1) generalized BKP equation by using Riemann theta functions

This paper is focused on quasi-periodic wave solutions of (3+1) generalized BKP equation. Because of some difficulties in calculations of N=3 periodic solutions, hardly ever has there been a study on these solutions by using Riemann theta function. In this study, we obtain one and two periodic wave...

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Bibliographic Details
Published in:Applied mathematics and computation 2016-01, Vol.273, p.131-141
Main Authors: Demiray, Seçil, Taşcan, Filiz
Format: Article
Language:English
Subjects:
(3+1) Generalized BKP equation
Hirota’s bilinear method
Quasi-periodic wave solutions
Riemann theta functions
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Summary:This paper is focused on quasi-periodic wave solutions of (3+1) generalized BKP equation. Because of some difficulties in calculations of N=3 periodic solutions, hardly ever has there been a study on these solutions by using Riemann theta function. In this study, we obtain one and two periodic wave solutions as well as three periodic wave solutions for (3+1) generalized BKP equation. Moreover we analyze the asymptotic behavior of the periodic wave solutions tend to the known soliton solutions under a small amplitude limit.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2015.10.004