On the solitary wave solutions of modified Benjamin–Bona–Mahony equation for unidirectional propagation of long waves

AK Gupta, J Hazarika - Pramana, 2020 - Springer
In this article, generalised Kudryashov technique has been implemented to construct new
soliton solutions of modified Benjamin–Bona–Mahony (mBBM) equation. Also, the optimal …

[HTML][HTML] On 4-dimensional Einsteinian manifolds with parallel null distribution

M Jafari - Mathematics and Society, 2023 - math-sci.ui.ac.ir
In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this
purpose, we first obtain the equations, which are known as Einstein's equations, that lead to …

Breather solutions of modified Benjamin–Bona–Mahony equation

GT Adamashvili - Chinese Physics B, 2021 - iopscience.iop.org
New two-component vector breather solution of the modified Benjamin–Bona–Mahony
(MBBM) equation is considered. Using the generalized perturbation reduction method, the …

[HTML][HTML] Two-component nonlinear wave of the cubic Boussinesq-type equation

GT Adamashvili - Physics Letters A, 2023 - Elsevier
The general form of the cubic Boussinesq-type equation is considered. In special cases, this
equation is reduced to the three different versions of the cubic Boussinesq equations and …

Symmetry reductions and exact solutions of a two-wave mode Korteweg-de Vrie equation

C Majola, B Muatjetjeja, AR Adem - International Journal of …, 2021 - ijnaa.semnan.ac.ir
A two-wave mode Korteweg-de Vries equation is investigated by using Lie symmetry
analysis. The similarity reductions and new exact solutions are obtained via the simplest …

-Symmetries and -Conservation Laws for The Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

B Kopçasız, E Yaşar - Journal of Mathematical Sciences and Modelling - dergipark.org.tr
This work discusses the $%% TCIMACRO {\U {3bc}}%% BeginExpansion\mu%
EndExpansion $-symmetry and conservation law of $%% TCIMACRO {\U {3bc}} …

Numerical Solutions of (3+ 1)-Dimensional mKdV and (3+ 1)-Dimensional mBBM Equations and their Applications in Water Waves

AK GUPTA, J Hazarika - 2022 - researchsquare.com
In this manuscript, the Optimal Homotopy Asymptotic Method (OHAM) has been implimented
to construct the approximate solutions of (3+ 1)-dimensional mKdV equation and (3+ 1) …

Vector breather of the cubic Boussinesq equation

G Adamashvili - Available at SSRN 3862553, 2021 - papers.ssrn.com
In this work, we employ the generalized perturbation reduction method to find the two-
component vector breather solution of the cubic Boussinesq equation $ U_ {tt}-C U_ {zz}-D …

Two-component vector breather solution of the modified BBM equation

GT Adamashvili - arXiv preprint arXiv:2005.10569, 2020 - arxiv.org
This is a continuation of Ref.[1](arXiv: nlin. PS/2001.07758 v1). In the present paper, we
consider the solution to the modified Benjamin-Bona-Mahony equation $ u_ {t}+ C u …

Two-component breather solution of the modified BBM equation

G Adamashvili - Available at SSRN 3616785, 2020 - papers.ssrn.com
In the present paper, we consider the solution to the modified Benjamin-Bona-Mahony
equation $ u_ {t}+ C u_ {z}+\beta u_ {zzt}+ au^{2} u_ {z}= 0$ using the generalized …