Weaam Alhejaili
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View article: On the multi-solitons interaction, shock waves, and hybrid solutions to the variable coefficients perturbed damped modified Korteweg-de Vries-Zakharov-Kuznetsov equation arising in plasma and fluids
On the multi-solitons interaction, shock waves, and hybrid solutions to the variable coefficients perturbed damped modified Korteweg-de Vries-Zakharov-Kuznetsov equation arising in plasma and fluids Open
This work demonstrates the characteristic of integrability through Painlev´e analysis, Auto-B¨acklund transformation, soliton interaction, shocks, positons, and hybrid solutions to the (3+1)-dimensional variable coefficients damped perturb…
View article: Modeling Fractional Dust-Acoustic Shock Waves in a Complex Plasma Using Novel Techniques
Modeling Fractional Dust-Acoustic Shock Waves in a Complex Plasma Using Novel Techniques Open
This work investigates how fractionality affects the dynamical behavior of dust-acoustic shock waves that arise and propagate in a depleted-electron complex plasma. This model consists of inertial negatively charged dust grains and inertia…
View article: The Tantawy technique for modeling low-frequency ion-acoustic cnoidal waves in a magnetized degenerate astrophysical quantum plasma
The Tantawy technique for modeling low-frequency ion-acoustic cnoidal waves in a magnetized degenerate astrophysical quantum plasma Open
This study investigates the propagation of both fractional and non-fractional ion-acoustic cnoidal waves (IACWs) in a magnetized degenerate Thomas-Fermi electron-positron-ion ( e − p − i ) plasma, incorporating the effects of magnetic fiel…
View article: New extended (3+1)-dimensional KP-type equations: Painlevé integrability, multi-solitons, and lump solutions
New extended (3+1)-dimensional KP-type equations: Painlevé integrability, multi-solitons, and lump solutions Open
This work investigates and analyzes two new extended (3+1)-dimensional Kadomtsev-Petviashvili (KP) equations describing nonlinear wave propagation in dissipative media such as fluid mechanics and plasmas. The Painleve test is conducted to …
View article: Acoustic-diffusion process of non-local vibrated polymer composite elastic medium subjected to laser thermal source
Acoustic-diffusion process of non-local vibrated polymer composite elastic medium subjected to laser thermal source Open
This study investigates the complex interactions between acoustic pressure and mass diffusion in a non-local polymer composite thermoelastic medium subjected to a thermal laser source (laser pulse), analyzed using normal mode analysis. The…
View article: Nonlocal wave propagation in magneto-microstretch semiconductors under photo-thermal excitation
Nonlocal wave propagation in magneto-microstretch semiconductors under photo-thermal excitation Open
This paper investigates the behavior of a magneto-microstretch nonlocal semiconductor elastic medium under photo-thermal excitation. A theoretical model is formulated and analyzed within a two-dimensional (2D) framework, incorporating the …
View article: Families of soliton solutions and other exact solutions of the (2+1)-dimensional chiral nonlinear Schrödinger equation
Families of soliton solutions and other exact solutions of the (2+1)-dimensional chiral nonlinear Schrödinger equation Open
In this work, we study the (2+1)-dimensional chiral nonlinear Schrodinger equation (CNLSE), which is essential in the fields of nonlinear optics, plasma physics, and fluid mechanics. Traveling wave analytical algorithms reveal a variety of…
View article: Applications of artificial neural networks in solving nonlinear evolution equations: wave-like and Fisher's equations
Applications of artificial neural networks in solving nonlinear evolution equations: wave-like and Fisher's equations Open
Many researchers are interested in the highly effective and successful role that deep learning techniques play in assessing many problems in various scientific disciplines. Artificial neural networks (ANNs) are considered a precise, powerf…
View article: On the “Tantawy Technique” and other methods for analyzing the family of fractional Burgers’ equations: Applications to plasma physics
On the “Tantawy Technique” and other methods for analyzing the family of fractional Burgers’ equations: Applications to plasma physics Open
This paper explores some innovative and modern techniques for analyzing the family of fractional Burgers-type equations, which are extensively utilized in studying shock waves in plasma physics and marine environments. The most notable nov…
View article: Exothermic thermosolutal convection in a nanofluid-filled square cavity with a rotating Z-Fin: ISPH and AI integration
Exothermic thermosolutal convection in a nanofluid-filled square cavity with a rotating Z-Fin: ISPH and AI integration Open
This study explores the combined effects of exothermic chemical reactions and Cattaneo–Christov heat flux on thermosolutal convection within a nanofluid-filled square cavity containing a rotating Z-shaped fin. The incompressible smoothed p…
View article: Arbitrary amplitude electron-acoustic solitary waves in magnetoplasma with Kaniadakis distributed electrons
Arbitrary amplitude electron-acoustic solitary waves in magnetoplasma with Kaniadakis distributed electrons Open
This study investigates the arbitrary amplitude high-frequency electron-acoustic (EA) solitary waves (EASWs) in a multi-component magnetoplasma consisting of inertial fluid cold electrons and inertialess Kaniadakis distributed hot electron…
View article: Kink Wave Phenomena in the Nonlinear Partial Differential Equation Representing the Transmission Line Model of Microtubules for Nanoionic Currents
Kink Wave Phenomena in the Nonlinear Partial Differential Equation Representing the Transmission Line Model of Microtubules for Nanoionic Currents Open
This paper provides several new traveling wave solutions for a nonlinear partial differential equation (PDE) by applying symbolic computation and a new approach, the Riccati–Bernoulli sub-ODE method, in a computer algebra system. Herein, e…
View article: Effect of ions anisotropy pressure on the ion-acoustic cnoidal waves in electron–positron–ion magnetoplasmas
Effect of ions anisotropy pressure on the ion-acoustic cnoidal waves in electron–positron–ion magnetoplasmas Open
The main objective of this work is to investigate the characteristics and behavior of the ion-acoustic cnoidal waves (IACWs) in an electron–positron–ion magnetoplasma having inertial positive ions with anisotropic thermal pressure and iner…
View article: Painlevé integrability and multiple soliton solutions for the extensions of the (modified) Korteweg-de Vries-type equations with second-order time-derivative
Painlevé integrability and multiple soliton solutions for the extensions of the (modified) Korteweg-de Vries-type equations with second-order time-derivative Open
This work introduces two (3+1)-dimensional expansions of the Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. These extensions incorporate a second-order time-derivative term, similar to the Boussinesq equation. The Painlevé test…
View article: Painlevé analysis and Hirota direct method for analyzing three novel physical fluid extended KP, Boussinesq, and KP-Boussinesq equations: Multi-solitons/shocks and lumps
Painlevé analysis and Hirota direct method for analyzing three novel physical fluid extended KP, Boussinesq, and KP-Boussinesq equations: Multi-solitons/shocks and lumps Open
Due to the extensive and diverse connections of the Kadomtsev-Petviashvili (KP) equation with various physical phenomena, such as the propagation of waves in sea and ocean water and the propagation of nonlinear waves in plasmas when two-di…
View article: Analytical solutions to (modified) Korteweg–de Vries–Zakharov–Kuznetsov equation and modeling ion-acoustic solitary, periodic, and breather waves in auroral magnetoplasmas
Analytical solutions to (modified) Korteweg–de Vries–Zakharov–Kuznetsov equation and modeling ion-acoustic solitary, periodic, and breather waves in auroral magnetoplasmas Open
This article investigates the propagation of different types of nonlinear ion-acoustic waves, including periodic waves, solitons, and breathers in non-Maxwellian magnetized plasma. The plasma model consists of inertial cold ions, inertiale…
View article: On the positron-acoustic Kawahara solitary and cnoidal waves in a non-Maxwellian electron–positron–ion plasma
On the positron-acoustic Kawahara solitary and cnoidal waves in a non-Maxwellian electron–positron–ion plasma Open
The dissemination of positron-acoustic (PA) nonlinear structures, including the solitary waves (SWs) and cnoidal waves (CWs), is analyzed in an unmagnetized electron–positron–ion (e–p–i) plasma having inertial cold positrons and inertiales…
View article: Optical Solitons for Nonlinear Schrodinger Equation Formatted in the Absence of Chromatic Dispersion Through Modified Exponential Rational Function Method and Other Distinct Schemes
Optical Solitons for Nonlinear Schrodinger Equation Formatted in the Absence of Chromatic Dispersion Through Modified Exponential Rational Function Method and Other Distinct Schemes Open
View article: Heat and mass transport of nano-encapsulated phase change materials in a complex cavity: An artificial neural network coupled with incompressible smoothed particle hydrodynamics simulations
Heat and mass transport of nano-encapsulated phase change materials in a complex cavity: An artificial neural network coupled with incompressible smoothed particle hydrodynamics simulations Open
This work simulates thermo-diffusion and diffusion-thermo on heat, mass transfer, and fluid flow of nano-encapsulated phase change materials (NEPCM) within a complex cavity. It is a novel study in handling the heat/mass transfer inside a …
View article: Semiconductor elastic medium with electromagnetic porosity, photothermal excitation, and the Thomson effect
Semiconductor elastic medium with electromagnetic porosity, photothermal excitation, and the Thomson effect Open
The Thomson influence on semiconductors can be studied by investigating the connection between the presence of thermoelectric and magnetic fields and porosity and the photothermal transport mechanism. Elastic waves, voids, magnetic fields,…
View article: Lump and multiple soliton solutions to the new integrable (3+1)-dimensional Boussinesq equation
Lump and multiple soliton solutions to the new integrable (3+1)-dimensional Boussinesq equation Open
This study introduces a newly discovered (3+1)-dimensional integrable Boussinesq equation (BE).The complete integrability of the equation in question is investigated through the utilization of Painlevé analysis.The method of Hirota's appro…
View article: On the Painlevé integrability of three-extensions to Mikhailov–Novikov–Wang equations: Multiple solitons, shocks, and other physical solutions
On the Painlevé integrability of three-extensions to Mikhailov–Novikov–Wang equations: Multiple solitons, shocks, and other physical solutions Open
The current work examines three (1 + 1)-dimensional Mikhailov–Novikov–Wang (MNW) equations. The Painlevé criteria are employed for testing the integrability of the evolution equations. Using the simplified Hirota's approach, multiple solit…
View article: Steklov Eigenvalue Problems on Nearly Spherical and Nearly Annular Domains
Steklov Eigenvalue Problems on Nearly Spherical and Nearly Annular Domains Open
We consider Steklov eigenvalues on nearly spherical and nearly annular domains in $d$ dimensions. By using the Green-Beltrami identity for spherical harmonic functions, the derivatives of Steklov eigenvalues with respect to the domain pert…
View article: A changeable thermal conductivity and optoelectronic-mechanical wave behavior in a microelongated, non-locally rotating semiconductor media
A changeable thermal conductivity and optoelectronic-mechanical wave behavior in a microelongated, non-locally rotating semiconductor media Open
In this study, we investigate the effect of a rotation field on a homogeneous photo-thermoelastic nonlocal material and how its thermal conductivity changes as a result of a linearly distributed thermal load. The thermal conductivity of an…
View article: Derivation of Lump Solutions to Integrable (2+1)- and (3+1)-Dimensional Extended KdV and KP Equations
Derivation of Lump Solutions to Integrable (2+1)- and (3+1)-Dimensional Extended KdV and KP Equations Open
"In this study, we investigate the lump solutions for both integrable (2+1)- and (3+1)-dimensional extended KdV and KP equations using symbolic computation with Maple and the Hirota bilinear (HB) form. For each integrable model, we create …
View article: The Krylov–Bogoliubov–Mitropolsky method for modeling a forced damped quadratic pendulum oscillator
The Krylov–Bogoliubov–Mitropolsky method for modeling a forced damped quadratic pendulum oscillator Open
In the present investigation, a quadratically forced damped pendulum-type equation is solved analytically using several effective and highly accurate approaches. Some different types of pendulum oscillators linked to the forced and damped …
View article: Novel Approximations to the Damped Parametric Driven Pendulum Oscillators
Novel Approximations to the Damped Parametric Driven Pendulum Oscillators Open
The damped parametric driven nonlinear pendulum equation/oscillator (NPE), also known as the damped disturbed NPE, is examined, along with some associated oscillators for arbitrary angles with the vertical pivot. For analyzing and solving …
View article: Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators
Ansatz and Averaging Methods for Modeling the (Un)Conserved Complex Duffing Oscillators Open
In this study, both the ansatz and averaging methods are carried out for analyzing the complex Duffing oscillators including the undamped/conserved complex Duffing oscillator (CDO) and the damped/unconserved CDO to obtain some approximate …
View article: Parametric Study on the Sensitivity of Different Properties of Waves Propagating through an Incompressible Medium
Parametric Study on the Sensitivity of Different Properties of Waves Propagating through an Incompressible Medium Open
This article deals with the study of disturbance that travels through the transversely isotropic medium in the form of waves. The particles of the considered medium have an additional property of small-scale internal rotation along with ma…
View article: On the Krýlov–Bogoliúbov-Mitropólsky and Multiple Scales Methods for Analyzing a Time Delay Duffing–Helmholtz Oscillator
On the Krýlov–Bogoliúbov-Mitropólsky and Multiple Scales Methods for Analyzing a Time Delay Duffing–Helmholtz Oscillator Open
This study is divided into two important axes; for the first one, a new symmetric analytical (approximate) solution to the Duffing–Helmholtz oscillatory equation in terms of elementary functions is derived. The obtained solution is compare…