Comment on: “The modified extended tanh-function method for solving Burgers-type equations” [Physica A 361 (2006) 394–404]

Xiangfan Piao; Philsu Kim

doi:10.1016/j.physa.2021.125771

Comment on: “The modified extended tanh-function method for solving Burgers-type equations” [Physica A 361 (2006) 394–404]

Xiangfan Piao, Philsu Kim

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations. In addition, we provide the corrected exact solutions by correcting some Soliman's mistakes and errors.

Original language	English
Article number	125771
Journal	Physica A: Statistical Mechanics and its Applications
Volume	569
DOIs	https://doi.org/10.1016/j.physa.2021.125771
State	Published - 1 May 2021

Keywords

Burgers’ equation
Coupled Burgers’ equation
METF method

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10.1016/j.physa.2021.125771

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abstract = "In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations. In addition, we provide the corrected exact solutions by correcting some Soliman's mistakes and errors.",

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N2 - In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations. In addition, we provide the corrected exact solutions by correcting some Soliman's mistakes and errors.

AB - In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations. In addition, we provide the corrected exact solutions by correcting some Soliman's mistakes and errors.

KW - Burgers’ equation

KW - Coupled Burgers’ equation

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Comment on: “The modified extended tanh-function method for solving Burgers-type equations” [Physica A 361 (2006) 394–404]

Abstract

Keywords

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