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مقالات فارسیISIکنفرانسهاژورنالها

Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves

محل انتشار: مجله مکانیک کاربردی و محاسباتی، دوره: 6، شماره: 4
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 339

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لینک ثابت به این مقاله:
https://civilica.com/doc/1025576

شناسه ملی سند علمی:

JR_JACM-6-4_002

تاریخ نمایه سازی: 11 تیر 1399

چکیده مقاله:

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 semi-inverse 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.

کلیدواژه ها:

Continuum assumption ، two scale transform ، Fractal dimension ، variational derivative

نویسندگان

Ji-Huan He

School of Science, Xi an University of Architecture and Technology, Xi’an, China | University National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, ۱۹۹ Ren-Ai Road, Suzhou,

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