The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh methods


ÇINAR M., ÖNDER İ., SEÇER A., Yusuf A., Abdulkadir Sulaiman T., Bayram M., ...More

Physica Scripta, vol.96, no.9, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 96 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1088/1402-4896/ac0374
  • Journal Name: Physica Scripta
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Keywords: Zoomeron equation, extended rational sine-cosine method, extended rational sinh-cosh method, exact solutions, SOLITONS
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2021 IOP Publishing Ltd.In this study, we investigate the nonlinear Zoomeron equation by using the extended rational sin - cos and sinh - cosh methods. We successfully constructed some important solutions such as singular periodic wave, periodic wave, topological, and singular soliton solutions. Using suitable parameter values, we present the numerical simulations to some of the obtained results via the 2- and 3-dimensional graphs. The methods used in this study are efficient and powerful mathematical tools that can be applied in reporting various wave solutions to different nonlinear physical models.