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

Mathematical Physics 2014-09-25 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1409.6859,
  title  = {Quasi-Periodic Solutions of (3+1) Generalized BKP Equation By Using Riemann Theta Functions},
  author = {Seçil Demiray and Filiz Taşcan Güney},
  journal= {arXiv preprint arXiv:1409.6859},
  year   = {2014}
}

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19 pages