2014•arXiv (Cornell University)Open access

Quasi-Periodic Solutions of (3+1) Generalized BKP Equation By Using Riemann Theta Functions

Seçil Demiray, Filiz Taşcan Güney

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 Rieamann 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 analyse the asymptotic behavior of the periodic wave solutions tend to the known soliton solutions under a small amplitude limit.

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Key concepts: Periodic wave, Theta function, Limit (mathematics), Riemann hypothesis, Periodic function, Soliton, Amplitude, Mathematical analysis