Results 41 to 50 of about 37,202 (296)
Abstract and Applied Analysis, 2013 In this paper, conservation laws for the (2+1)-dimensional ANNV equation and KP-BBM equation with higher-order mixed derivatives are studied. Due to the existence of higher-order mixed derivatives, Ibragimov’s “new conservation theorem” cannot be applied
Li-hua Zhang
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Scaling Symmetries and Conservation Laws for Variable-coefficients Nonlinear Dispersive Equations
Trends in Computational and Applied Mathematics, 2019 Scaling symmetries arise in different branches of physics, and symmetry-based approaches are powerful tools for studying scaling-invariant models since they can provide conservation laws that are not obvious by inspection.
Érica M. Silva, Wescley L. Souza
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Quantifying Spin Defect Density in hBN via Raman and Photoluminescence Analysis
Advanced Functional Materials, EarlyView.An all‐optical method is presented for quantifying the density of boron vacancy spin defects in hexagonal boron nitride (hBN). By correlating Raman and photoluminescence signals with irradiation fluence, defect‐induced Raman modes are identified and established an relationship linking optical signatures to absolute defect densities. This enables direct
Atanu Patra +8 more
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AI Poincaré 2.0: Machine Learning Conservation Laws from Differential Equations [PDF]
, 2022 Ziming Liu, Varun Madhavan, Max Tegmark
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Extensive Review of Materials for Next‐Generation Transparent Batteries and Their Design Strategies
Advanced Functional Materials, EarlyView.Review explores emerging materials and design strategies for transparent batteries, examining electrodes, electrolytes, separators, and device architectures optimized for high electrochemical performance, mechanical flexibility, and optical transparency.
Atul Kumar Mishra +5 more
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Advanced Functional Materials, EarlyView.The catalytic valorization of biomass represents an essential approach for achieving sustainable chemical production, with formic acid (FA) being recognized as a valuable platform chemical for hydrogen storage and environmentally friendly synthetic applications.
Yiqi Geng +6 more
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Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation
Abstract and Applied Analysis, 2014 Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions.
Wenjuan Rui, Peiyi Zhao, Yufeng Zhang
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Matrix Multiplicative Weights Updates in Quantum Zero-Sum Games: Conservation Laws & Recurrence [PDF]
, 2022 Rahul Jain +2 more
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Advanced Healthcare Materials, EarlyView.Models of the human skin must combine the relevant biological contents and suitable biomaterials with the correct spatial organization. Performing compound screening on such in vitro models also requires fast and reproducible production methods of the models.
Elisa Lenzi +7 more
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Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation
Abstract and Applied Analysis, 2014 Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced
Mehdi Nadjafikhah, Mostafa Hesamiarshad
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