Uniform planar impact on a two-dimensional square packing of spheres with intruders at interstitial locations is investigated. An equivalent one-dimensional granular chain model is proposed with appropriate scaling and is verified numerically. Numerical observations demonstrate the existence of a new family of plane solitary waves with different profiles at unique combinations of material properties. In particular, a special case of a solitary wave whose profile is similar to that of the homogeneous chains is also reported. Material combinations that cause solitary waves are systematically extracted for a wide range of material properties. For the solitary wave similar to that of a homogeneous chain, a quasicontinuum approximation is employed to predict the shape and width of the solitary wave, showing good agreement with the numerical results. Finally, an asymptotic analysis is conducted to predict the solitary wave solutions.
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http://dx.doi.org/10.1103/PhysRevE.90.032209 | DOI Listing |
Sci Rep
January 2025
Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, 71491, Tabuk, Saudi Arabia.
In this study, the -model expansion method is showed to be useful for finding solitary wave solutions to the Klein-Gordon (KG) equation. We develop a variety of solutions, including Jacobi elliptic functions, hyperbolic forms, and trigonometric forms, so greatly enhancing the range of exact solutions attainable. The 2D, 3D, and contour plots clearly show different types of solitary waves, like bright, dark, singular, and periodic solitons.
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January 2025
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia.
In applied research, fractional calculus plays an important role for comprehending a wide range of intricate physical phenomena. One of the Klein-Gordon model's peculiar case yields the Phi-four equation. Additionally, throughout the past few decades it has been utilized to explain the kink and anti-kink solitary waveform contacts that occur in biological systems and in the field of nuclear mechanics.
View Article and Find Full Text PDFPLoS One
January 2025
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
The (3+1)-dimensional mKdV-ZK model is an important framework for studying the dynamic behavior of waves in mathematical physics. The goal of this study is to look into more generic travelling wave solutions (TWSs) for the generalized ion-acoustic scenario in three dimensions. These solutions exhibit a combination of rational, trigonometric, hyperbolic, and exponential solutions that are concurrently generated by the new auxiliary equation and the unified techniques.
View Article and Find Full Text PDFJ Hypertens
February 2025
Department of Medicine.
Background: Patients with solitary functioning kidney appear to be exposed to an increased cardiovascular risk. This study aimed to evaluate the impact of peripheral and central blood pressure on subclinical cardiovascular organ damage in a sample of children and adolescents with solitary functioning kidney.
Methods: Carotid ultrasonography was performed to measure the carotid intima-media thickness (cIMT) and the carotid distensibility coefficient.
Sci Rep
December 2024
Mathematics, KU Leuven, Celestijnenlaan 200B, Leuven, Belgium.
The formation of a S-shaped filament was investigated to determine if and how magnetoacoustic waves in the solar corona can trigger filament excitation. The study investigated how magnetoacoustic waves interact with two magnetic null points in the solar corona. Since the solar corona has a complex magnetic field structure, it is expected that magnetic structures are predominantly responsible for the occurrence of coronal events.
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