GENERALIZED VARIATIONAL STRUCTURE OF THE FRACTAL MODIFIED KDV–ZAKHAROV–KUZNETSOV EQUATION

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

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-7

Abstract: A fractal modification of the modified KdV–Zakharov–Kuznetsov equation is suggested and its fractal generalized variational structure is established by means of the semi-inverse method. Furthermore, the obtained fractal generalized variational structure is discussed and verified through the two-scale transform from another dimension field in detail. The obtained fractal generalized variational structure reveals the conservation laws via the energy form in the fractal space and can be employed to study the fractal solitary wave properties.

Keywords: Generalized Variational Structure; Fractal Derivative; Two-Scale Transform; Conservation Laws; Semi-Inverse Method (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500846

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