International Journal of Modern Physics B

In this paper, the Allen–Cahn equation with time noise is under consideration. The extended fan-sub technique is used to find the exact solutions. The solutions are successfully extracted in the form of hyperbolic, trigonometric and mixed forms of solitons. Importantly, the physical unique value problems of the solutions are discussed using the different values of parameters. The 2D, 3D, and their corresponding contour behaviors of these solutions are depicted by choosing the different values of parameters. The stability is controlled through the Borel coefficient in the noise term.

This study investigates the dynamical attitude of a nonlinear elastic circular rod’s longitudinal oscillation with lateral inertia and finite radius. This model was derived in 1986 by Wei and Gui-tong with a fourth-order nonlinear mixed derivative. The axial symmetry of this model has been thought through by using cylindrical coordinates. Furthermore, the strain and kinetic energy in the length unit of the rod have been determined. Two recent computational (extended Fan-expansion (EFE) and generalized rational (GR)) techniques are employed to construct some novel solitary wave solutions. The soliton wave solutions are obtained using Mathematica 13 software and are given with the distinct physical properties of trigonometric, hyperbolic and rational solution species. The stability of the investigated model and the obtained solutions through the suggested two analytical schemes are tested. Putting different values of the parameters explains these solutions through some numerical simulations in two-dimensional, three-dimensional and contour plots.

The escalation of network traffic drives it imperative to enhance network traffic capacity and alleviate congestion. We propose a novel routing strategy in accordance with the properties of sine function. In simulation experiments, our strategy is compared with the efficient routing (ER) strategy. The phase change point of network from free state to congestion state can accurately define network traffic capacity. By using the optimal parameter of our strategy, the traffic capacity of network can be enhanced and the average path length can be reduced under each network size. What’s more, load variance and total load under our strategy are lower, which indicates that the total load is smaller and the load distribution is more uniform when compared to the case of ER strategy.

This study focuses on the review of present and future research directions in the field of laser–plasma interaction by using bibliometric analysis. Data sources in this study are collected from the WoS core collection database. A total of 2650 documents from 1990 to 2022 are analyzed. Author keywords, countries/regions, highly-cited articles and scholars, fruitful journals and productive institutions are discussed in detail. Results indicate that in terms of the volume of published documents, research institutes and related journals in this area, the USA is the leading country, followed by China, France and the UK. Furthermore, the USA has the highest number of publications and is the most frequently cited country in the world. Also, Physics of Plasmas, published by the AIP, holds the first rank among journals in terms of papers published and most global cited documents in laser–plasma interaction research. Moreover, the Lawrence Livermore National Laboratory, Livermore, USA, is the most productive institution. Furthermore, biometric analysis reveals the growth rate of related articles in this field that has been somewhat stable and in recent years, investigations by scholars are mostly focused on simulation with programming (e.g., Particle-In-Cell (PIC) codes), studying the effects of electric and magnetic fields, laser–plasma dynamics, ion-acceleration and laser-driven plasma accelerators.

In this study, the center of a concave surface was analytically studied using the volume of fluid approach to simulate hollow and dense droplets on a variety of solid obstacles. OpenFoam software was used to carry out the numerical simulations. The hollow droplet’s fluid phase, Glycerine, has an outer diameter of 5.25 mm and its gas phase, air, has a diameter of 4 mm. We looked at the laminar flow of an incompressible Newtonian fluid phase. Jet characteristics and droplet collision hydrodynamic behavior were investigated. Due to the interaction between droplets and shells on the obstacle’s surface and the concave surface, which causes a pressure difference and improves fluid movement, the largest jet size is consequently produced in rectangular obstacles. The sharp obstacle, on the other hand, molds the jet’s shortest length and height.

The primary objective of this investigation is to explore the Cattaneo–Christov flux models impact on Williamson nanofluid over a stretching surface. Buongiorno’s model featuring diffusions (Brownian and thermophoretic) is opted for nonlinear analysis. Buoyancy-driven nonlinear convection flow in stagnation region is modeled. Surface is permeable and transpiration effects are considered. Energy expression captures heat source/sink aspects. The nondimensional differential systems are tackled analytically via homotopy analysis method (HAM). The profiles of dimensionless temperature, concentration and skin friction are examined graphically for the attributes of multiple physical parameters. It is revealed that the heat transfer elevates with the increment of thermophoresis, heat source and Brownian motion parameters while it dwindles with the improvement of thermal relaxation parameter. The mass transfer strengthens with the enlargement of thermophoresis parameter while diminishing with the enhancement of solutal relaxation and Brownian motion parameters. The skin friction is elevated for higher values of material variable against nonlinear mixed convection parameter.

This research reports the thermo-solutal mixed convective non-Newtonian (tangent-hyperbolic) fluid flow from a stretchable surface under the effect of viscous dissipation. Impermeable surface with stratifications (thermal and solutal) creates the flow. The Buongiorno nanoliquid model capturing Brownian diffusion and thermophoresis is opted for analysis. Energy expression modeling is based on heat source/sink and thermal radiation. Consideration of chemical reaction accounts for species concentration. Via relevant transformations, the flow model of nonlinear governing partial differential conservation equations and free-stream boundary conditions are extracted into coupled nonlinear ordinary differential equations which are solved analytically using homotopy technique. Comparative results ensuring the soundness of the employed technique are included. Analytical results are presented graphically for the influence of pertinent parameters on velocity, temperature, skin-friction coefficient, local Nusselt and Sherwood numbers. The obtained outcomes witness that the concentration of nanoparticles is increased with stronger values of thermophoresis and concentration Biot number while it declines with increasing values of solutal stratification variable, Brownian motion and Schmidt number.

This paper deals with a study on flow of fluid which exhibits the characteristics of both ideal fluids and elastic solid and shows partial elastic recovery. For these types of fluids, Jeffrey six-constant model will be used that illustrates the most striking feature connected with the deformation of a viscoelastic substance and simultaneously displays the fluid-like and solid-like characteristics. The flow of the proposed fluid model will be generated in an inclined tube by sinusoidal wave trains propagation with constant speed along the walls of the tube. The governing equations of the fluid along with energy equation are modeled and simplified by using low Reynolds number and long wavelength assumptions. These equations will be solved by utilizing the homotopy perturbation technique and results of flow will be displayed in graphical form under the effects of Jeffrey model’s parameters.

The role of non-Newtonian fluids can’t be denied owing to their immense industrial and engineering applications. Taking this point in mind, the motivation of the current investigation is to examine the influence of a magnetic dipole on two-dimensional nonelectrical conducting Oldroyd-B fluid flow in the existence of thermophoretic particle deposition along a linearly stretching surface. The exponential space-based thermal source and the temperature-dependent heat source/sink are incorporated into the thermal equation. The fluid concentration is strengthened with binary activation energy and Arrhenius chemical reaction. The set of ordinary differential equations that are attained after applying the similarity transformations is resolved numerically by the bvp4c approach of MATLAB software. The impact of diverse parameters on velocity, temperature, and concentration are graphically examined. The quantities of physical importance are also computed and analyzed numerically. The results revealed that fluid velocity and temperature have opposing trends for the ferromagnetic interaction parameter. It is also witnessed that the fluid concentration arguments for the chemical reaction parameter. The validation of the model in the limiting case is also given.

In this paper, the propagation of electromagnetic pulse in the medium of single-walled carbon nanotubes (chiral type) is investigated. The existence of the second harmonic generation mode, which was not observed at the initial time, is revealed. A high second harmonic output is set, as well as the dependence of the second harmonic output on the problem parameters. It is proposed to use this effect to generate entangled photons.