NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION-Reference-Cited by-同舟云学术

NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION

Published:2023-01 Issue:03 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG KANG-LE¹^ORCID

Affiliation:

1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

Abstract

This work suggests a fractional modification of the KdV–Kadomtsev–Petviashvili model with the beta-derivative to consider unsmooth boundary. Some new interesting solitary waves are found for the first time ever by the fractional sine–cosine method and the fractional ansatz method. These dynamical characteristics of new solitary waves are discussed by some three-dimensional (3D) figures, and the effect of the fractal parameters on the solitary waves traveling is also discussed and explained.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X23500251

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