Some new fractals behaviors in \((2+1)\)-dimensional integrable system
type: Item
instance of: scholarly article
title: Some new fractals behaviors in \((2+1)\)-dimensional integrable system
zbMATH Open document ID: 1188.37025
author: Hong Zhao
published in: Applied Mathematics and Computation
publication date: 2009-12-16T00:00:00Z
review text: The author proves the existence of abundant fractal structures based on the \((2+1)\)- dimensional BK system. It is proved a linearized form of the physical model, by introducing the extended homogeneous balance approach into the \((2+1)\)- dimensional integrable system. Next, the new fractal structures of the model were revealed thanks to the intrusion of the arbitrary functions in the general solution. In Section 3, by using the Weierstrass, Bessel and Jacobian elliptic functions, some interesting fractal structures are produced. The subject is very up to date and the paper is well written.
reviewed by: Nicolae-Adrian Secelean
Mathematics Subject Classification ID: 37C45
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 5648677
zbMATH Keywords: Backlund transformation
zbMATH Keywords: integrable system
zbMATH Keywords: fractal structure
MaRDI profile type: Publication
full work available at URL: j.amc.2009.07.017
OpenAlex ID: W2016170407
cites work: Localized solutions with chaotic and fractal behaviours in a (2+1)-dimensional dispersive long-wave system
cites work: Fractal Dromion, Fractal Lump, and Multiple Peakon Excitations in a (2 + 1)-Dimensional Broer–Kaup Equations
DOI: 10.1016/J.AMC.2009.07.017
description: scientific article; zbMATH DE number 5648677