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NOVEL TRAVELING WAVE SOLUTIONS FOR THE FRACTAL ZAKHAROV–KUZNETSOV–BENJAMIN–BONA–MAHONY MODEL

School of Mathematics and Information Science, Henan Polytechnic University, 454000 JiaoZuo, P. R. China

https://doi.org/10.1142/S0218348X22501705Cited by:16 (Source: Crossref)

Abstract

In this paper, the fractal Zakharov–Kuznetsov–Benjamin–Bona–Mahony model (FZKBBM) is studied based on the local fractional derivative sense on Cantor sets for the first time. The different types of traveling wave solutions of the FZKBBM are successfully obtained by using two reliable and efficient approaches, which are fractal Yang wave method (FYWM) and fractal variational method (FVM). The properties of the obtained traveling wave solutions of non-differential type are elaborated by using some three-dimensional simulation graphs.

Keywords:

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