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    Traveling Wave Solutions to Riesz Time Fractional Camassa–Holm Equation in Modeling for Shallow Water Waves

    Source: Journal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006::page 61026
    Author:
    Saha Ray, S.
    ,
    Sahoo, S.
    DOI: 10.1115/1.4029800
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz., Riesz timefractional Camassa–Holm (CH) equation by modified homotopy analysis method (MHAM). As a result, new types of solutions are obtained. Then, we analyze the results by numerical simulations, which demonstrate the simplicity and effectiveness of the present method. The main aim of this paper is to employ a new approach, which enables us successful and efficient derivation of the analytical solutions for the Riesz timefractional CH equation.
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      Traveling Wave Solutions to Riesz Time Fractional Camassa–Holm Equation in Modeling for Shallow Water Waves

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    contributor authorSaha Ray, S.
    contributor authorSahoo, S.
    date accessioned2017-05-09T01:15:59Z
    date available2017-05-09T01:15:59Z
    date issued2015
    identifier issn1555-1415
    identifier othercnd_010_06_061026.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/157369
    description abstractIn the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz., Riesz timefractional Camassa–Holm (CH) equation by modified homotopy analysis method (MHAM). As a result, new types of solutions are obtained. Then, we analyze the results by numerical simulations, which demonstrate the simplicity and effectiveness of the present method. The main aim of this paper is to employ a new approach, which enables us successful and efficient derivation of the analytical solutions for the Riesz timefractional CH equation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTraveling Wave Solutions to Riesz Time Fractional Camassa–Holm Equation in Modeling for Shallow Water Waves
    typeJournal Paper
    journal volume10
    journal issue6
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4029800
    journal fristpage61026
    journal lastpage61026
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian