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

Publish place: Journal of Applied and Computational Mechanics، Vol: 6، Issue: 4
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1025576

شناسه ملی سند علمی:

JR_JACM-6-4_002

تاریخ نمایه سازی: 11 تیر 1399

Abstract:

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.

Keywords:

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

Authors

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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