Impact of high dispersion and cubic-quintic-septic nonlinearity on optical solitons perturbations of the resonant nonlinear Schrödinger equation with multiplicative white noise

Zayed E. M., El-Horbaty M. M., El-Shater M., Arnous A. H., SEÇER A., Shah N. A., ...More

Ain Shams Engineering Journal, vol.15, no.9, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 9
  • Publication Date: 2024
  • Doi Number: 10.1016/j.asej.2024.102890
  • Journal Name: Ain Shams Engineering Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Keywords: Cubic-quintic-septic nonlinearity, Perturbations, Resonant NLSE, Solitons, The Jacobi elliptic function method, The unified Riccati expansion method, White noise
  • Yıldız Technical University Affiliated: Yes

Abstract

This study investigates the effect of high dispersion, perturbations, cubic-quintic-septic nonlinearity, and multiplicative white noise on the resonant nonlinear Schrödinger equation in the Bohm potential. The model being studied is novel and requires investigation into its behavior and characteristics. Two integration schemes, namely the unified Riccati expansion method and the Jacobi elliptic function method, are employed in this study to seek soliton solutions for the governing model. Various types of solitons, such as bright, dark, and singular solitons, are observed. Moreover, solutions shaped like Jacobi's elliptic functions are identified. Parametric constraints characterize the obtained soliton solutions. Furthermore, the results are presented comprehensively, accompanied by visual representations.