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The Deterministic and Stochastic Solutions of the NLEEs in Mathematical Physics

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Abstract

This paper poses the new Riccati–Bernoulli Sub-ODE method in order to find the exact and random traveling wave solutions for the \((1+1)\)-dimensional nonlinear dispersive modified Benjamin–Bona and the Drinfel’d–Sokolov–Wilson equation. We use this method in deterministic case as well as a random case. Additionally, we can show and discuss this method under some random distributions.

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Acknowledgements

The authors thank the editor and anonymous reviewers for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Mahmoud A. E. Abdelrahman

  2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    Mahmoud A. E. Abdelrahman, M. A. Sohaly & Osama Moaaz

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  1. Mahmoud A. E. Abdelrahman
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  2. M. A. Sohaly
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  3. Osama Moaaz
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Abdelrahman, M.A.E., Sohaly, M.A. & Moaaz, O. The Deterministic and Stochastic Solutions of the NLEEs in Mathematical Physics. Int. J. Appl. Comput. Math 5, 40 (2019). https://doi.org/10.1007/s40819-019-0623-1

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