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Constructing Logistic Function-Type Solitary Wave Solutions to Burgers and Sharma–Tasso–Olver Equations

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Abstract

In this communication, a travelling wave solution ansatz has been constructed using the logistic function. The logistic function ansatz with simple pole recently appeared in Kudryashov (Appl Math Comput 280:39–45, 2016) while investigating the solitary wave solutions of a class of Korteweg–de-Vries equation. However, in this work, we bypass the simple pole and obtain solitary solutions to the Burgers and Sharma–Tasso–Olver equations as test problems without resorting to Laurent series.

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Authors and Affiliations

  1. Department of Mathematics, Federal University Dutse, Dutse, Jigawa State, Nigeria

    Rahmatullah Ibrahim Nuruddeen

  2. Department of Mathematics, Faculty of Science and Technology, Omdurman Islamic University, Khartoum, Sudan

    Khalid Suliman Aboodh

  3. Department of Mathematics, Faculty of Science and Arts, University of Bisha, Bisha, Saudi Arabia

    Khalid Suliman Aboodh

  4. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

    Khalid K. Ali

Authors
  1. Rahmatullah Ibrahim Nuruddeen
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  2. Khalid Suliman Aboodh
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  3. Khalid K. Ali
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Correspondence to Rahmatullah Ibrahim Nuruddeen.

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Nuruddeen, R.I., Aboodh, K.S. & Ali, K.K. Constructing Logistic Function-Type Solitary Wave Solutions to Burgers and Sharma–Tasso–Olver Equations. Int. J. Appl. Comput. Math 5, 5 (2019). https://doi.org/10.1007/s40819-018-0587-6

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  • DOI: https://doi.org/10.1007/s40819-018-0587-6

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