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Highly dispersive embedded solitons with quadratic χ(2) and cubic χ(3) non-linear susceptibilities having multiplicative white noise via Itô calculus

Author

Listed:
  • AlQahtani, Salman A.
  • Alngar, Mohamed E.M.
  • Shohib, Reham M.A.
  • Pathak, Pranavkumar

Abstract

The objective of this article is to investigate highly dispersive embedded solitons characterized by χ(2) and χ(3) non-linear susceptibilities, and incorporating multiplicative white noise in the Itô sense. To achieve this, we utilize both the new auxiliary equation method and an addendum to Kudryashov’s method. The analysis conducted in this study results in solutions for bright solitons, singular solitons, and combo bright-singular solitons. Simulations of the bright soliton solutions are given. The system being studied and the outcomes outlined in the manuscript are innovative and original.

Suggested Citation

  • AlQahtani, Salman A. & Alngar, Mohamed E.M. & Shohib, Reham M.A. & Pathak, Pranavkumar, 2023. "Highly dispersive embedded solitons with quadratic χ(2) and cubic χ(3) non-linear susceptibilities having multiplicative white noise via Itô calculus," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003995
    DOI: 10.1016/j.chaos.2023.113498
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    References listed on IDEAS

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    1. Kudryashov, Nikolay A., 2019. "Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 323-330.
    2. Mohammed, W.W. & El-Morshedy, M., 2021. "The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 192-202.
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