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Cubic-quartic embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô calculus

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  • Zayed, Elsayed M.E.
  • Alngar, Mohamed E.M.
  • Shohib, Reham M.A.

Abstract

The objective of this paper is to study the cubic-quartic embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise in the Itô sense. The unified Riccati equation expansion method and the addendum Kudryashov’s method are employed to accomplish this task. The straddled soliton, the combo bright-singular soliton, the bright soliton, the singular soliton solutions as long as periodic and rational solutions are obtained. The numerical schemes give a visual perspective to the solutions derived analytically.

Suggested Citation

  • Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Shohib, Reham M.A., 2023. "Cubic-quartic embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô calculus," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000875
    DOI: 10.1016/j.chaos.2023.113186
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    1. Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Shohib, Reham M.A. & Biswas, Anjan & Yıldırım, Yakup & Moraru, Luminita & Mereuta, Elena & Alshehri, Hashim M., 2022. "Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô Calculus," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    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.
    3. Wael W. Mohammed & Meshari Alesemi & Sahar Albosaily & Naveed Iqbal & M. El-Morshedy, 2021. "The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using ( G ′ G )-Expansion Method," Mathematics, MDPI, vol. 9(21), pages 1-10, October.
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