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Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63]

Parkes, Edward (2011) Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63]. Computers and Fluids, 42 (1). pp. 108-109. ISSN 0045-7930

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    Abstract

    In a recent paper [Abazari R. Application of (G′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G′/G)-expansion method was used to find travelling-wave solutions to three nonlinear evolution equations that arise in the mathematical modelling of fluids. The author claimed that the method delivers more general forms of solution than other methods. In this note we point out that not only is this claim false but that the delivered solutions are cumbersome and misleading. The extended tanh-function expansion method, for example, is not only entirely equivalent to the (G′/G)-expansion method but is more efficient and user-friendly, and delivers solutions in a compact and elegant form.

    Item type: Article
    ID code: 29109
    Keywords: Nonlinear evolution equations; Travelling-wave solutions;, (G′/G)-exponential method;, Tanh-function expansion method, PACS: 02.30.Jr., Mathematics, Electronic computers. Computer science, Engineering(all), Computer Science(all)
    Subjects: Science > Mathematics
    Science > Mathematics > Electronic computers. Computer science
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 07 Mar 2011 23:25
    Last modified: 27 Mar 2014 09:15
    URI: http://strathprints.strath.ac.uk/id/eprint/29109

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