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Extraction new solitons and other exact solutions for nonlinear stochastic concatenation model by modified extended direct algebraic method

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Abstract

The optical soliton and exact solutions of the stochastic concatenation model are obtained by using the modified extended direct algebraic method. This method provides a wide variety of stochastic solutions, including stochastic bright solitons, stochastic dark solitons, stochastic dark combo solitons, stochastic singular combo solitons, stochastic periodic solutions, stochastic rational solutions, stochastic Jacobi elliptic functions solutions and stochastic Weierstrass elliptic functions solutions. For a variety of nonlinear partial differential equations, this method offers a practical and effective method for determining exact solutions. The impact of the noise is illustrated graphically using examples of some of the retrieved solutions with various noise strengths.

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Authors and Affiliations

  1. Department of Mathematics and Engineering Physics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

    Mohammed F. Shehab & Hamdy M. Ahmed

  2. Department of Mathematics, Faculty of Science, Menufia University, Shebeen El-Koom, Egypt

    Mohammed M. A. El-Sheikh & A. A. El-Gaber

  3. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, 44891-63157, Iran

    M. Mirzazadeh

  4. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    M. Eslami

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  1. Mohammed F. Shehab
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  2. Mohammed M. A. El-Sheikh
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  3. Hamdy M. Ahmed
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  4. A. A. El-Gaber
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  5. M. Mirzazadeh
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Shehab, M.F., El-Sheikh, M.M.A., Ahmed, H.M. et al. Extraction new solitons and other exact solutions for nonlinear stochastic concatenation model by modified extended direct algebraic method. Opt Quant Electron 56, 1089 (2024). https://doi.org/10.1007/s11082-024-06635-w

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