A Note on "Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation"

TL;DR

This paper critiques a recent study on the Exp-function method, showing that its claimed solutions for certain fifth-order equations are trivial or incorrect, thus questioning the method's effectiveness.

Contribution

It clarifies that the solutions presented in the referenced paper are trivial and demonstrates that the Exp-function method cannot find solutions for the studied equations.

Findings

All solutions in the referenced paper are trivial constants.

The Exp-function method does not find solutions for the fifth-order equations.

The solutions claimed are reductions to trivial solutions.

Abstract

We discuss the recent paper by Inan and Ugurlu [Inan I.E., Ugurlu Y., Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation, Appl. Math. Comp. 217 (2010) 1294 -- 1299]. We demonstrate that all exact solutions of fifth order KdV equation and modified Burgers equation by Inan and Ugurlu are trivial solutions that are reduced to constants. Moreover, we show exact solutions of the fifth -- order equation studied by Inan and Ugurlu cannot be found by the Exp-function method.