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

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  • Piao, Xiangfan
  • Kim, Philsu

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.

Suggested Citation

  • Piao, Xiangfan & Kim, Philsu, 2021. "Comment on: “The modified extended tanh-function method for solving Burgers-type equations” [Physica A 361 (2006) 394–404]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    • Handle: RePEc:eee:phsmap:v:569:y:2021:i:c:s0378437121000431
    DOI: 10.1016/j.physa.2021.125771
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    References listed on IDEAS

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    1. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
    2. Soliman, A.A., 2006. "The modified extended tanh-function method for solving Burgers-type equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 394-404.
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