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EXACT TRAVELING WAVE SOLUTIONS FOR THE LOCAL FRACTIONAL KADOMTSOV–PETVIASHVILI–BENJAMIN–BONA–MAHONY MODEL BY VARIATIONAL PERSPECTIVE

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

https://doi.org/10.1142/S0218348X22501018Cited by:17 (Source: Crossref)

Abstract

In this work, the Kadomtsov–Petviashvili–Benjamin–Bona–Mahony model is described by the local fractional derivative (LFD) on Cantor sets. A novel algorithm is presented to seek the exact traveling wave solution of the nondifferentiable type for the local fractional Kadomtsov–Petviashvili–Benjamin–Bona–Mahony model based on the variational theory, which is called variational wave transform method (VWTM). This new algorithm provides a new idea for seeking the exact traveling wave solutions in fractal space with simplicity and efficiency. The physical properties of traveling wave solutions are described by some 3D simulation figures.

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