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variational principle for the generalized kdv-burgers equation with fractal derivatives for shallow water waves
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نویسنده
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he ji-huan
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منبع
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journal of applied and computational mechanics - 2020 - دوره : 6 - شماره : 4 - صفحه:735 -740
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چکیده
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The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized kdv-burgers equation with fractal derivatives. the semiinverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of the equation.
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کلیدواژه
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continuum assumption ,two scale transform ,fractal dimension ,variational derivative
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آدرس
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xi'an university of architecture and technology, school of science, china. soochow university, college of textile and clothing engineering, university national engineering laboratory for modern silk, china
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پست الکترونیکی
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hejihuan@suda.edu.cn
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Authors
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