VARIATIONAL PRINCIPLE AND APPROXIMATE SOLUTION FOR THE GENERALIZED BURGERS–HUXLEY EQUATION WITH FRACTAL DERIVATIVE

Kang-Jia Wang ()
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Kang-Jia Wang: School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 02, 1-6

Abstract: Under the non-smooth condition, many theories obtained by the assumption on the smooth condition become invalid, so a generalized Burgers–Huxley equation (GBHE) with fractal derivative is introduced in this work. The fractal variational formulation for the problem is established by using the semi-inverse method, which provides conservation laws in an energy form and possible solution structures of the equation. The two-scale transform method and variational iteration method (VIM) are used to solve the fractal GBHE. The obtained results show a great agreement with the existed results.

Keywords: Variational Principle; Fractal Derivative; Two-scale Transform; Variational Iteration Method; Semi-inverse Method (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500444

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