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

Research paper by Seçil Demiray, Filiz Taşcan Güney

Indexed on: 24 Sep '14Published on: 24 Sep '14Published in: Mathematical Physics



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.