Article
Physics, Fluids & Plasmas
Swastik Ballav, Ansuman Das, Suman Pramanick, Swarniv Chandra
Summary: This study explores the generation and properties of shock fronts in plasma, analyzing the KdV-Burger's equation and solving it via the Cole-Hoff transformation and hyperbolic-tangent method. The dynamical properties of shock solitons are studied to determine stability and the potential for chaos, providing insight into interpreting stellar plasma properties from data.
IEEE TRANSACTIONS ON PLASMA SCIENCE
(2022)
Article
Physics, Fluids & Plasmas
Daniel J. Ratliff, Oliver Allanson
Summary: This study discusses the modulation stability and wave-particle interactions of parallel-propagating/field-aligned whistler-mode chorus waves in a warm plasma. Results show that accounting for the motion of ions and higher-order effects is necessary to capture the spatiotemporal evolution of the envelope and packet formation, providing insights into the origin of power band gaps.
JOURNAL OF PLASMA PHYSICS
(2023)
Review
Chemistry, Multidisciplinary
Sarah Battat, David A. Weitz, George M. Whitesides
Summary: This review focuses on experimental work on nonlinear phenomena in microfluidics, including oscillations, flow-switching behaviors, and bifurcations. The nonlinear behaviors can be induced by the geometry of channels and the manipulation of elements by flowing fluids. Additionally, intermediate Reynolds numbers, non-Newtonian fluids, and liquid metals also contribute to the nonlinear effects. Practical applications include flow gating, mixing, and particle separations.
Article
Mechanics
Menahem Krief
Summary: The study presents analytical solutions to the nonlinear radiation diffusion equation in a non-homogeneous medium with a power law spatial density profile, demonstrating different forms of solutions based on the spatial exponent and their implications on heat conduction. The study also identifies values of the spatial exponent that lead to constant speed or accelerated conduction fronts. Additionally, comparisons between solution forms and numerical simulations result in good agreement.
Article
Physics, Multidisciplinary
R. Ruby, S. Ali, Ch Rozina
Summary: The study investigates the nonlinear coupling of high-frequency UH pump waves with low-frequency LH waves in a degenerate magnetoplasma, utilizing quantum hydrodynamic model and Fourier analysis. It is found that the inclusion of electron Fermi pressure significantly alters the nonlinear dispersion relations and modulational instabilities.
INDIAN JOURNAL OF PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
M. Tohfeh, L. Rajaei, S. Miraboutalebi
Summary: Nonlinear perturbations have significant consequences on the excitation of surface waves in overdense plasma. We study the modifications of the proper frequencies of exciting surface modes by considering the framework of the warm electron-fluid model and Poisson equation, and obtaining analytical solutions at the first- and second-order corrections. By investigating the nonlinear modifications of the dispersion relation of the plasma surface waves, we find a new proper frequency region at the second-order corrections, and discuss the influences of nonlinearities and thermal effects on physical quantities.
PHYSICS OF PLASMAS
(2022)
Article
Engineering, Aerospace
Punam Kumari Prasad, Alireza Abdikian, Asit Saha
Summary: The dynamics of ions in the ionospheric shell of Venus induced by solar wind escape are analyzed using ion-acoustic wave models and Sagdeev pseudopotentials to study the existence of nonlinear and supernonlinear waves. The research also examines wave breaking phenomena and the effects of traveling wave velocity on the total energy function and wave solutions.
ADVANCES IN SPACE RESEARCH
(2021)
Article
Engineering, Marine
Abdullahi Yusuf, Tukur Abdulkadir Sulaiman, Evren Hincal, Dumitru Baleanu
Summary: The Ostrovsky equation is solved without the rotation effect using the Hirota bilinear method and symbolic calculation. Unique interaction phenomena between lump solution, breather wave, periodic wave, kink soliton, and two-wave solutions have been obtained. The obtained solutions are validated and their physical characteristics are visualized to gain further insights. Furthermore, the novel conservation theory is applied to generate the conserved vectors of the governing equation. The discovered results are significant for understanding specific physical phenomena in fluid dynamics, as well as the dynamics of nonlinear higher dimensional wave fields in computational physics and ocean engineering.
JOURNAL OF OCEAN ENGINEERING AND SCIENCE
(2022)
Editorial Material
Multidisciplinary Sciences
Alessio Belenchia, Matteo Carlesso, Sandro Donadi, Giulio Gasbarri, Hendrik Ulbricht, Angelo Bassi, Mauro Paternostro
Summary: By shooting glass beads across the inside of a satellite, it is possible to investigate the limits of quantum wave behavior.
Article
Physics, Fluids & Plasmas
X. Wang, S. Briguglio, C. Di Troia, M. Falessi, G. Fogaccia, V. Fusco, G. Vlad, F. Zonca
Summary: This paper investigates the nonlinear evolution of a single-toroidal-number chirping mode in tokamak plasmas using numerical particle simulation. The study identifies resonant structures and finds that the frequency chirping causes the resonance radius and region to drift inwards, leading to density flattening and inward movement of steepened negative density gradients. These findings contribute to understanding the potential harm of chirping Alfven modes on particle confinement.
PHYSICS OF PLASMAS
(2022)
Article
Engineering, Mechanical
Xin Zhao, Bo Tian, He-Yuan Tian, Dan-Yu Yang
Summary: This paper presents a study on the Backlund transformation, Lax pair, and interactions of nonlinear waves for a generalized (2 + 1)-dimensional nonlinear wave equation in nonlinear optics, fluid mechanics, and plasma physics. Through the Hirota bilinear method, a bilinear Backlund transformation is obtained and a Lax pair is constructed. Mixed rogue-solitary and rogue-periodic wave solutions are derived, and interactions between different types of waves are investigated.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Applied
Usman Younas, T. A. Sulaiman, Jingli Ren, A. Yusuf
Summary: This manuscript discusses the dynamical behavior of the ill-posed Boussinesq dynamical wave equation, extracting different wave structures using Hirota's bilinear method and different test function approaches. The obtained solutions demonstrate novel breather waves, lump solutions, two-wave solutions, and rogue wave solutions. The physical behavior of these solutions is depicted in 3D and contour profiles, providing valuable insights for understanding complex structures and solving nonlinear problems in ocean and coastal engineering.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Astronomy & Astrophysics
Dylan L. Jow, Fang Xi Lin, Emily Tyhurst, Ue-Li Pen
Summary: The study on astrophysical plasma lensing usually neglects wave effects but they could play a significant role in the lensing of coherent sources. Methods including first-order wave effects may be discontinuous at Stokes lines. Imaginary images can provide important information in lens models and could potentially be observed in data analysis.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)
Article
Materials Science, Multidisciplinary
M. Ayesha Khatun, Mohammad Asif Arefin, M. Hafiz Uddin, Dumitru Baleanu, M. Ali Akbar, Mustafa Inc
Summary: The article utilizes the fractional modified Riemann-Liouville derivative to study the space-time fractional coupled Boussinesq equation, obtaining multiple mathematical solutions which have significant implications for coastal engineering and the application of nonlinear water wave models.
RESULTS IN PHYSICS
(2021)
Article
Physics, Fluids & Plasmas
A. A. Nechaev, A. A. Kuznetsov, Vl. V. Kocharovsky
Summary: An analytical relation is derived between the energy density of the magnetic field, its dominant wavenumber, and the average plasma anisotropy parameter in the Weibel instability. This relation is valid for arbitrary velocity distributions and has been verified using particle-in-cell simulations.
JOURNAL OF PLASMA PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
C. P. Olivier, F. Verheest, W. A. Hereman
PHYSICS OF PLASMAS
(2018)
Editorial Material
Physics, Fluids & Plasmas
Frank Verheest, Manfred A. Hellberg
JOURNAL OF PLASMA PHYSICS
(2019)
Article
Physics, Fluids & Plasmas
Frank Verheest, Ioannis Kourakis
PHYSICS OF PLASMAS
(2019)
Article
Physics, Fluids & Plasmas
C. P. Olivier, F. Verheest
PHYSICS OF PLASMAS
(2020)
Article
Physics, Fluids & Plasmas
Frank Verheest, Manfred A. Hellberg, Carel P. Olivier
PHYSICS OF PLASMAS
(2020)
Article
Physics, Fluids & Plasmas
Frank Verheest, Manfred A. Hellberg
PHYSICS OF PLASMAS
(2020)
Article
Physics, Multidisciplinary
Frank Verheest, Manfred A. Hellberg
Summary: Recent research has shown that under certain conditions, soliton speeds decrease while amplitudes increase, contradicting traditional understanding. By simplifying the model and neglecting thermal effects, it was found that these effects are primarily due to beam properties rather than ion thermal effects.
Editorial Material
Engineering, Aerospace
Carel P. Olivier, Frank Verheest
Summary: In this comment, significant errors in a paper on dust-ion-acoustic waves in unmagnetized 4-component plasma are illustrated using Sagdeev pseudopotential analysis, attributed to erroneous formulation of the moving frame for reductive perturbation analysis. The correct derivation is provided, along with the illustration of the near-supercritical compositional criterion.
ADVANCES IN SPACE RESEARCH
(2021)
Editorial Material
Physics, Multidisciplinary
Frank Verheest
Summary: The recent paper discussing weakly nonlinear electron-acoustic waves in magnetized plasmas with Tsallis nonextensive distribution has deficiencies in not properly considering the limits imposed by the distribution and reductive perturbation treatment, resulting in some unphysical results. The necessity of describing hot electrons with a one-dimensional distribution in magnetized plasmas was also not discussed.
Article
Education, Scientific Disciplines
Frank Verheest
Summary: This article presents a method to establish the linearity of transformations by considering Einstein's first relativity postulate, leading to the derivation of generalized Lorentz transformations. The method is straightforward and parallels results and methods found in the literature.
AMERICAN JOURNAL OF PHYSICS
(2022)
Editorial Material
Astronomy & Astrophysics
Frank Verheest
Summary: The paper investigates the propagation of shock waves in a specific plasma model through the KdVB equation, finds its solutions, and analyzes them graphically. However, the analysis is incorrect, as shown by a comparison with earlier papers on the tanh method for the KdVB equation, and the proposed solution does not annul the KdVB equation.
ASTROPHYSICS AND SPACE SCIENCE
(2022)
Article
Physics, Fluids & Plasmas
Carel P. Olivier, Frank Verheest
Summary: This paper presents a new formalism for deriving the cnoidal wave solution by introducing a new set of initial conditions and a subacoustic moving frame. The resulting solutions are constructed in a way that conserves number density. The paper illustrates the solutions using various graphical representations and demonstrates that the wavelength of the solutions decreases with the amplitude. Furthermore, it shows that the small-amplitude cnoidal wave solutions converge to linear waves in the small-amplitude limit.
JOURNAL OF PLASMA PHYSICS
(2022)
Editorial Material
Physics, Fluids & Plasmas
Steffy Sara Varghese, Frank Verheest, Ioannis Kourakis
Summary: In a recent paper, Kumar and Mishra study the arbitrary amplitude ion-acoustic supersolitons in negative ion plasmas with two-temperature superthermal electrons. However, the reported results are incorrect.
PHYSICS OF PLASMAS
(2023)