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Soliton solutions of the (2 + 1)-dimensional Jaulent-Miodek evolution equation via effective analytical techniques.
Sci Rep
January 2025
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, 602105, India.
In this study, we investigate the [Formula: see text]-D Jaulent-Miodek (JM) equation, which is significant due to its energy-based Schrödinger potential and applications in fields such as optics, soliton theory, signal processing, geophysics, fluid dynamics, and plasma physics. Given its broad utility, a rigorous mathematical analysis of the JM equation is essential. The primary objective of this work is to derive exact soliton solutions using the Modified Sub-Equation (MSE) and Modified Auxiliary Equation (MAE) techniques.
View Article and Find Full Text PDFGut microbiota as a new target for hyperuricemia: A perspective from natural plant products.
Phytomedicine
January 2025
National Institute of Traditional Chinese Medicine Constitution and Preventive Medicine, Beijing University of Chinese Medicine, Beijing, 100000, China. Electronic address:
Background: Hyperuricemia, a prevalent chronic metabolic disorder caused by purine metabolism disturbances, is characterized by elevated serum uric acid (UA) levels. Prolonged hyperuricemia can cause severe complications such as gout or kidney damage. However, the toxic side effects of and adverse reactions to UA-lowering drugs are becoming increasingly prominent.
View Article and Find Full Text PDFThoughts and thinkers: On the complementarity between objects and processes.
Phys Life Rev
January 2025
Allen Discovery Center at Tufts University, Medford, MA 02155, USA; Wyss Institute for Biologically Inspired Engineering at Harvard University, Boston, MA 02115, USA.
We argue that "processes versus objects" is not a useful dichotomy. There is, instead, substantial theoretical utility in viewing "objects" and "processes" as complementary ways of describing persistence through time, and hence the possibility of observation and manipulation. This way of thinking highlights the role of memory as an essential resource for observation, and makes it clear that "memory" and "time" are also mutually inter-defined, complementary concepts.
View Article and Find Full Text PDFWeakly guiding approximation of a three-dimensional waveguide model for extreme ultraviolet lithography simulation.
J Opt Soc Am A Opt Image Sci Vis
August 2024
A three-dimensional (3D) waveguide model is applied in extreme ultraviolet (EUV) lithography simulations. The 3D waveguide model is equivalent to rigorous coupled-wave analysis, but fewer field components are used to solve Maxwell's equations. The 3D waveguide model uses two components of vector potential, and , corresponding to the two polarizations.
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