Results 111 to 120 of about 37,682 (306)
Applications of Symmetries to Nonlinear Partial Differential Equations
SymmetryThis review begins with the standard Lie symmetry theory for nonlinear PDEs and explores extensions of symmetry analysis. First, it introduces three key symmetry reduction methods: the classical symmetry method, conditional symmetries, and the CK direct method.
Ping Liu, Senyue Lou
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Characterization for the Solvability of Nonlinear Partial Differential Equations [PDF]
Transactions of the American Mathematical Society, 1992 Within the nonlinear theory of generalized functions introduced earlier by the author a number of existence and regularity results have been obtained. One of them has been the first global version of the Cauchy-Kovalevskaia theorem, which proves the existence of generalized solutions on the
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A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy
Advanced Engineering Materials, EarlyView.A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle +5 more
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Existence of bounded solutions for nonlinear hyperbolic partial differential equations
Electronic Journal of Differential Equations, 2015 In this article we first establish a new representation formula for bounded solutions to a class of nonlinear second-order hyperbolic partial differential equations.
Toka Diagana, Mamadou Moustapha Mbaye
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Hybrid Metal–Carbon Ink for Printed Stretchable Temperature Sensors
Advanced Engineering Materials, EarlyView.We prepare conductive inks for temperature sensing with silver flakes and carbon or graphite flakes in a silicone elastomer matrix. Silver dominates the temperature‐dependent conductivity, while the carbon filler network ensures the stability of the conductive pathways and retains function under strain.
Makara Lay +3 more
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Nonlinear Klein-Gordon and Schrödinger Equations by the Projected Differential Transform Method
Abstract and Applied Analysis, 2012 The differential transform method (DTM) is based on the Taylor series for all variables, but it differs from the traditional Taylor series in calculating coefficients.
Younghae Do, Bongsoo Jang
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New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
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Partial Differential Equations in Applied MathematicsThe study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal +5 more
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BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including solitonic ...
T. V. Red'kina, O. V. Novikova
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Overdetermined Systems of Nonlinear Partial Differential Equations
Zeitschrift für Analysis und ihre Anwendungen, 1989 For the systems of partial differential equations appearing in the theory of Lie series we deduce the general structure of the solutions without assuming the data to be holomorphic ones.
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