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The improved Riccati equation method and exact solutions to mZK equation (Q446352)

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scientific article; zbMATH DE number 6078087
Language Label Description Also known as
English
The improved Riccati equation method and exact solutions to mZK equation
scientific article; zbMATH DE number 6078087

    Statements

    title
    The improved Riccati equation method and exact solutions to mZK equation (English)
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    author
    Xiaofeng Li
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    publication date
    6 September 2012
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    review text
    Summary: We use the improved Riccati equation method to construct more general exact solutions to nonlinear equations. We obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.
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    zbMATH Keywords
    travelling wave solutions
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    periodic waves
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    Identifiers

    DOI
    10.1155/2012/596762
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    Mathematics Subject Classification ID
    34A05
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    34A45
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    35C07
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    zbMATH DE Number
    6078087
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    Wikidata QID
    Q58702827
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    OpenAlex ID
    W2015148892
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