Research Article
Exact Soliton Solutions for New (4+1)-Dimensional Nonlinear Partial Differential Equations by a New exp(φ(ξ))-Expansion Method
Mohammed Salem Ahmed AL-Amry,
Eman Fadhl Abdullah AL-Abdali*
Issue:
Volume 11, Issue 2, April 2025
Pages:
26-33
Received:
7 May 2025
Accepted:
21 June 2025
Published:
14 July 2025
Abstract: In this paper, we present a new two equations. The first equation is the (4 + 1)-dimensional Generalized Nonlinear Boussinesq Equation (G-NBE), and the second is the (4+1)-dimensional Generalized Camassa–Holm Kadomtsev–Petviashvili Equation (G-CH-KPE). We use a new exp(φ(ξ))-expansion method for solve our new equations. We determine a variety of exact solutions for each equation and expressed in terms of hyperbolic functions, trigonometric functions, exponential functions and rational functions.
Abstract: In this paper, we present a new two equations. The first equation is the (4 + 1)-dimensional Generalized Nonlinear Boussinesq Equation (G-NBE), and the second is the (4+1)-dimensional Generalized Camassa–Holm Kadomtsev–Petviashvili Equation (G-CH-KPE). We use a new exp(φ(ξ))-expansion method for solve our new equations. We determine a variety of ex...
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Research Article
Heat and Mass Transfer Under the Effects of Soret and Dufour Parameters of Free Convective Flow Past a Vertical Porous Surface in the Presence of Magnetic Field
Issue:
Volume 11, Issue 2, April 2025
Pages:
34-44
Received:
28 May 2025
Accepted:
25 June 2025
Published:
5 August 2025
Abstract: We have considered Soret and Dufour effects on two dimensional free convection flow of an electrically conducting, incompressible, viscous fluid along a semi-vertical permeable moving plate. A uniform transverse magnetic field is applied in the presence of thermal and concentration buoyancy forces. The thermal and concentration boundary layer effects have been considered. By systematically transforming the governing partial differential equations into non-dimensional forms using selected similarity variables and then the non dimensional governing equations converted to coupled non-linear ordinary differential equations by small perturbation technique. The confined similarity equations are solved using a shooting method together with a Runge-Kutta algorithm. A representative set of graphical results for the velocity, temperature and concentration have been plotted within the boundary layer region for various existing flow parameters. The skin friction coefficient is seen to increase with increasing Soret number, Dufour number, thermal Grasohf number, concentration Grashof number but decreases with increasing the magnetic parameter, Prandtl number and Schmidt number. Nussult number decreases with increasing Prandtl and Soret number but decreases with increasing Dufour number. Sherwood number increases with increasing Schmidt and Dufour number but decreases with increasing Soret number. The fluid velocity in the boundary layer become significantly higher with increasing Soret number, Dufour number, thermal Grasohf number, concentration Grashof number but decreases with increasing magnetic parameter, Prandtl number, Schmidt number, suction and permeability parameter. The fluid temperature is become higher in the boundary layer region with increasing Dufour number and become lower with increasing Soret and Prandtl number, but reverse effect is observed in case of concentration.
Abstract: We have considered Soret and Dufour effects on two dimensional free convection flow of an electrically conducting, incompressible, viscous fluid along a semi-vertical permeable moving plate. A uniform transverse magnetic field is applied in the presence of thermal and concentration buoyancy forces. The thermal and concentration boundary layer effec...
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