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The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

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  • Mohammed, W.W.
  • El-Morshedy, M.

Abstract

In this paper we consider the stochastic Nizhnik–Novikov–Veselov system, which is forced in the Itô sense by multiplicative noise. To get a new trigonometric and hyperbolic stochastic solutions, we use the tanh–coth method and sine–cosine method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the stochastic Nizhnik–Novikov–Veselov system

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:192-202
    DOI: 10.1016/j.matcom.2021.05.022
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    References listed on IDEAS

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    1. Wang, Dengshan & Zhang, Hong-Qing, 2005. "Further improved F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 601-610.
    2. Ren, Yu-Jie & Zhang, Hong-Qing, 2006. "A generalized F-expansion method to find abundant families of Jacobi Elliptic Function solutions of the (2+1)-dimensional Nizhnik–Novikov–Veselov equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 959-979.
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    Cited by:

    1. 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).
    2. Tahira Sumbal Shaikh & Muhammad Zafarullah Baber & Nauman Ahmed & Naveed Shahid & Ali Akgül & Manuel De la Sen, 2023. "On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    3. 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).
    4. Elsayed M. E. Zayed & Mohamed E. M. Alngar & Reham M. A. Shohib, 2022. "Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
    5. 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).

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