Multi wave, kink, breather, Peregrine-like rational and interaction solutions for the concatenation model

Sarmaşık C. A., EKİCİ M.

Optical and Quantum Electronics, vol.56, no.2, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1007/s11082-023-05799-1
  • 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: Breather, Concatenation, Interaction, Kink, Multi-wave, Peregrine
  • Yozgat Bozok University Affiliated: Yes

Abstract

Under investigation is a concatenation model having Kerr law of nonlinearity. This model encompasses nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation. A variety of analytical solutions are recovered with the help of ansatz functions and logarithmic transformation. These solutions that emerge from ansatz functions include multi-waves, two solitary wave solutions, breather waves, periodic cross kink solutions as well as Peregrine-like rational solutions. Propagation characteristics of the solutions revealed are also displayed with numerical simulations.