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

Abstract

This paper is focused on quasi-periodic wave solutions of (3+1) generalized BKP equation. Because of some difficulties in calculations of 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.