Gaussons: Solitons of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 1 August 2016
Abstract
Purpose
The purpose of this paper is to concern with a reliable treatment of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations (BEs). The author uses the sense of the Gaussian solitary waves to determine these gaussons. The study confirms that models characterized by logarithmic nonlinearity give gaussons solitons of distinct physical structures.
Design/methodology/approach
The proposed technique, as presented in this work has been shown to be very efficient for solving nonlinear equations with logarithmic nonlinearity.
Findings
The (2+1) and the (3+1)-dimensional BEs were examined as well. The examined models feature interesting results in propagation of waves and fluid flow.
Research limitations/implications
The paper presents a new efficient algorithm for the higher dimensional logarithmic BEs.
Practical implications
The work shows the effect of logarithmic nonlinearity compared to other nonlinearities where standard solitons appear in the last case.
Social implications
The work will benefit audience who are willing to examine the effect of logarithmic nonlinearity.
Originality/value
The paper presents a new efficient algorithm for the higher dimensional logarithmic BEs.
Keywords
Citation
Wazwaz, A.-M. (2016), "Gaussons: Solitons of the (2+1)-dimensional and the (3+1)-dimensional logarithmic Boussinesq equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 6, pp. 1699-1709. https://doi.org/10.1108/HFF-06-2015-0239
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited