Gaussons

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.