Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method

Ravindra Yadav, Sandeep Malik, Sachin Kumar*, Rajesh Sharma, Anjan Biswas, Yakup Yıldırım, O. González-Gaxiola, Luminita Moraru, Abdulah A. Alghamdi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation.

Original languageEnglish
Article number113675
JournalChaos, Solitons and Fractals
Volume173
DOIs
Publication statusPublished - Aug 2023
Externally publishedYes

Keywords

  • Lie symmetry analysis
  • New kudryashov's method
  • Quadratic-cubic law
  • Solitons

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