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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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