The sine-Gordon expansion method for higher-dimensional NLEEs and parametric analysis [PDF]
Heliyon, 2021 The Estevez-Mansfield-Clarkson (EMC) equation and the (2+1)-dimensional Riemann wave (RW) equation are important mathematical models in nonlinear science, engineering and mathematical physics which have remarkable applications in the field of plasma ...
M Ali Akbar, Md Ekramul Islam
exaly +7 more sources
Breather and Rogue Wave Solutions of a New Three-Component System of Exactly Solvable NLEEs
DynamicsWe derive a new exactly solvable multi-component system of non-linear evolution equations (NLEEs). The system consists of three 1+1-dimensional evolution equations—one first-order and two second-order in the spatial variable.
Aleksander Stefanov, Stanislav Varbev
exaly +4 more sources
Further investigations to extract abundant new exact traveling wave solutions of some NLEEs
Journal of Ocean Engineering and Science, 2019 In this study, we implement the generalized (G′/G)-expansion method established by Wang et al. to examine wave solutions to some nonlinear evolution equations. The method, known as the double (G′/G, 1/G)-expansion method is used to establish abundant new
M Ali Akbar, Aly Seadawy, M Mamun Miah
exaly +4 more sources
The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs
AIMS Mathematics, 2019 Dans ce travail, nous construisons des solutions d'ondes progressives de forme fermée pour certaines équations d'évolution non linéaires (NLEE) associées à la physique mathématique. Ce travail met en œuvre la méthode généralisée bien établie de Kudryashov (gKM) pour calculer de nouvelles solutions d'ondes progressives de forme fermée pour l'équation de
M Ali Akbar, M Mamun Miah
exaly +3 more sources
Traveling wave solutions of some nonlinear evolution equations
AEJ - Alexandria Engineering Journal, 2015 In this work, the modified simple equation (MSE) method is used to find exact traveling wave solutions to nonlinear evolution equations (NLEEs) in mathematical physics.
M Ali Akbar +2 more
exaly +3 more sources
Propulsion and Power Research, 2019 The investigation of closed form solutions for nonlinear evolution equations (NLEEs) is being an attractive subject in the different branches of mathematical and physical sciences. In this article, the enhanced (G′/G)-expansion method has been applied to
M Ali Akbar
exaly +3 more sources
Study of phase separation process in multi-component mixtures using analytical methods and decomposition variational iteration method for the fourth-order Cahn–Hilliard equation [PDF]
Scientific ReportsIn this paper, the fourth-order Cahn–Hilliard equation is studied, which plays an important role in the development of the spinodal decomposition, phase separation, and phase ordering dynamics.
Jiaming Luo +7 more
doaj +2 more sources
Results in Physics, 2017 In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
M Ali Akbar
exaly +3 more sources
Soliton and lump and travelling wave solutions of the (3 + 1) dimensional KPB like equation with analysis of chaotic behaviors [PDF]
Scientific ReportsNonlinear evolution equations (NLEEs) have a wide range of applications in various fields, including physics, engineering, biology, economics, and more.
Yongyi Gu +5 more
doaj +2 more sources
Some New Solutions of Non Linear Evolution Equations With Mutable Coefficients
Frontiers in Applied Mathematics and Statistics, 2021 We construct the traveling wave solutions of some NonLinear Evolution Equations (NLEEs) with mutable coefficients arising in different branches of physics and mathematics. we apply a novel (G′G)-formalism to construct more general solitary traveling wave
Jasvinder Singh Virdi
doaj +1 more source