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

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  • Demiray, Seçil
  • Taşcan, Filiz

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.

Suggested Citation

  • Demiray, Seçil & Taşcan, Filiz, 2016. "Quasi-periodic solutions of (3+1) generalized BKP equation by using Riemann theta functions," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 131-141.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:131-141
    DOI: 10.1016/j.amc.2015.10.004
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    References listed on IDEAS

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    1. Tian, Shou-Fu & Zhang, Hong-Qing, 2013. "Riemann theta functions periodic wave solutions and rational characteristics for the (1+1)-dimensional and (2+1)-dimensional Ito equation," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 27-41.
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    Cited by:

    1. Verma, Pallavi & Kaur, Lakhveer, 2019. "Integrability, bilinearization and analytic study of new form of (3+1)-dimensional B-type Kadomstev–Petviashvili (BKP)- Boussinesq equation," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 879-886.

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