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

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DEMİRAY S., TAŞCAN F.

Applied Mathematics and Computation, vol.273, pp.131-141, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 273
  • Publication Date: 2016
  • Doi Number: 10.1016/j.amc.2015.10.004
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.131-141
  • Keywords: (3+1) Generalized BKP equation, Hirota's bilinear method, Quasi-periodic wave solutions, Riemann theta functions
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2015 Elsevier Inc. All rights reserved.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.