Constructing Logistic Function-Type Solitary Wave Solutions to Burgers and Sharma–Tasso–Olver Equations
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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.
KeywordsLogistic function-type Exp-function Burgers equation Sharma–Tasso–Olver equation
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