Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov's equation

Elsayed M.E. Zayed, Mohamed E.M. Alngar, Anjan Biswas, Abdul H. Kara, Mir Asma, Mehmet Ekici*, Salam Khan, Abdullah K. Alzahrani, Milivoj R. Belic

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

Abstract

The modified sub–ODE approach secures optical soliton solutions in magneto–optic waveguides with generalized Kudryashov's equation. The solutions are initially drafted in terms of Jacobi's elliptic functions. The limiting process, when the modulus of ellipticity approaches zero or unity, the soliton solutions emerge. A few solutions in terms of Weierstrass’ elliptic functions are also revealed. Finally, the conservation laws are computed for the model using the multiplier approach.

Original languageEnglish
Pages (from-to)186-205
Number of pages20
JournalChinese Journal of Physics
Volume69
DOIs
Publication statusPublished - Feb 2021
Externally publishedYes

Keywords

  • 060.2310
  • 060.4510
  • 060.5530
  • 190.3270
  • 190.4370
  • Generalized Kudryashov's equation
  • Magneto–optic
  • Solitons

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