Results 41 to 50 of about 6,655,493 (368)
Abstract and Applied Analysis, 2012 The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
Yong Huang, Yadong Shang
doaj +1 more source
The Eastwood-Singer gauge in Einstein spaces
, 2008 Electrodynamics in curved spacetime can be studied in the Eastwood--Singer gauge, which has the advantage of respecting the invariance under conformal rescalings of the Maxwell equations.
DeWitt B. S. +6 more
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Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime [PDF]
, 2013 We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a|
Yakov Shlapentokh-Rothman
semanticscholar +1 more source
Travelling waves and conservation laws for highly nonlinear wave equations modelling Hertz chains
, 2017 A highly nonlinear, fourth-order wave equation that models the continuum theory of long wavelength pulses in weakly compressed, discrete, homogeneous chains with a general power-law contact interaction is studied.
Anco, Stephen C., Przedborski, Michelle
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Molecular Oncology, EarlyView.Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad +12 more
wiley +1 more source
Higher-order corrections to the short-pulse equation
, 2012 Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on ...
Agrawal G P +12 more
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Classification of radial solutions of the focusing, energy-critical wave equation [PDF]
, 2012 In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in three space dimension.
Thomas Duyckaerts, C. Kenig, F. Merle
semanticscholar +1 more source
Age‐Related Characteristics of SYT1‐Associated Neurodevelopmental Disorder
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives We describe the clinical manifestations and developmental abilities of individuals with SYT1‐associated neurodevelopmental disorder (Baker‐Gordon syndrome) from infancy to adulthood. We further describe the neuroradiological and electrophysiological characteristics of the condition at different ages, and explore the associations ...
Sam G. Norwitz +3 more
wiley +1 more source
Modeling of Soliton Behavior in Nonlinear Transmission Line Systems
MathematicsThis study focuses on the nonlinear partial differential equation known as the Lonngren wave equation, which plays a significant role in plasma physics, nonlinear wave propagation, and astrophysical research.
Sadia Medhit +3 more
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Status epilepticus (SE) is associated with significant mortality. Sleep architecture may reflect normal brain function. Impaired sleep architecture is associated with poorer outcomes in numerous conditions. Here we investigate the association of sleep architecture in continuous EEG (cEEG) with survival in SE.
Ran R. Liu +5 more
wiley +1 more source