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

Seçil Demiray and Filiz Taşcan

Applied Mathematics and Computation, 2016, vol. 273, issue C, 131-141

Abstract: 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.

Keywords: Hirota’s bilinear method; Quasi-periodic wave solutions; Riemann theta functions; (3+1) Generalized BKP equation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:131-141

DOI: 10.1016/j.amc.2015.10.004

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