Likelihood equations and scattering amplitudes [PDF]
Algebraic Statistics, 2021 We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions to rational function equations.
Sturmfels, B., Telen, S.
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Scattering equations and string theory amplitudes [PDF]
Physical Review D, 2014 v2: 18 pp, 1 figure, added clarifications and comments.
Bjerrum-Bohr, N. Emil J. +3 more
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Numerical study on diverging probability density function of flat-top solitons in an extended Korteweg-de Vries equation [PDF]
, 2009 We consider an extended Korteweg-de Vries (eKdV) equation, the usual Korteweg-de Vries equation with inclusion of an additional cubic nonlinearity. We investigate the statistical behaviour of flat-top solitary waves described by an eKdV equation in the ...
Ablowitz M +8 more
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Amplitude Equations and Chemical Reaction–Diffusion Systems [PDF]
International Journal of Bifurcation and Chaos, 1997 The paper discusses the use of amplitude equations to describe the spatio-temporal dynamics of a chemical reaction–diffusion system based on an Oregonator model of the Belousov–Zhabotinsky reaction. Sufficiently close to a supercritical Hopf bifurcation the reaction–diffusion equation can be approximated by a complex Ginzburg–Landau equation with ...
Ipsen, M. +2 more
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Solitonic interactions for Rossby waves with the influence of Coriolis parameters
Results in Physics, 2021 In the current study, the Rossby waves envelope near the equator is studied starting from a potential vorticity equation with the horizontal component of Coriolis parameter.
XiaoJun Yin +3 more
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Nonequilibrium corrections to energy spectra of massive particles in expanding universe [PDF]
, 1996 Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial differential ...
A.D. Dolgov +14 more
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The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments [PDF]
, 1974 The Korteweg-de Vries (KdV) equation is tested experimentally as a model for moderate amplitude waves propagating in one direction in relatively shallow water of uniform depth. For a wide range of initial data, comparisons are made between the asymptotic
Hammack, Joseph L., Segur, Harvey
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Four-phase patterns in forced oscillatory systems [PDF]
, 2000 We investigate pattern formation in self-oscillating systems forced by an external periodic perturbation. Experimental observations and numerical studies of reaction-diffusion systems and an analysis of an amplitude equation are presented.
A. Ardelea +30 more
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The spatial dynamics of a zebrafish model with cross-diffusions
Mathematical Biosciences and Engineering, 2017 This paper investigates the spatial dynamics of a zebrafish model with cross-diffusions. Sufficient conditions for Hopf bifurcation and Turing bifurcation are obtained by analyzing the associated characteristic equation.
Hongyong Zhao, Qianjin Zhang, Linhe Zhu
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Amplitude equation for the generalized Swift–Hohenberg equation with noise [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klepel, Konrad +2 more
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