New extensions of (2+1)-dimensional BLMP models with soliton solutions


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Darvishi M., Najafi M., Arbabi S. B., Rezazadeh H., Bekir A., ÇEVİKEL A. C.

Optical and Quantum Electronics, vol.55, no.6, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.1007/s11082-023-04862-1
  • Journal Name: Optical and Quantum Electronics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: Boiti-Leon-Manna-Pempinelli equation, Hirota’s method, Multiple soliton solutions
  • Yıldız Technical University Affiliated: Yes

Abstract

Searching for soliton solutions of nonlinear partial differential equations is one of the most interesting and important areas of science in the field of nonlinear phenomena. Soliton is a localized wave with exponential wings or is a localized wave with an infinite support. In this work, we study two extensions of (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Based on the simplified Hirota’s method and the Cole-Hopf transformation method, new multiple front wave solutions are obtained for both versions.