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Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives

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  • Ulutas, Esma

Abstract

In this study, we have considered Wick-type stochastic nonlinear Schrödinger equation with conformable derivatives in Kerr law media. We have constructed exact various solutions of this equation using two analytic methods, white noise analysis and Hermit transform. We have applied the inverse Hermit transform to obtain stochastic solutions and then we have shown how these stochastic solutions can be presented as Brownian motion functional solutions by two application examples.

Suggested Citation

  • Ulutas, Esma, 2021. "Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004069
    DOI: 10.1016/j.chaos.2021.111052
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    References listed on IDEAS

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    1. Wazwaz, Abdul-Majid, 2008. "A study on linear and nonlinear Schrodinger equations by the variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1136-1142.
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    1. Abd-Allah Hyder & Ahmed H. Soliman & Clemente Cesarano & M. A. Barakat, 2021. "Solving Schrödinger–Hirota Equation in a Stochastic Environment and Utilizing Generalized Derivatives of the Conformable Type," Mathematics, MDPI, vol. 9(21), pages 1-16, October.

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