Results 241 to 250 of about 752,137 (289)

Dispersive Nonlinear Shallow‐Water Equations

Studies in Applied Mathematics, 2009
A set of dispersive and hyperbolic depth‐averaged equations is obtained using a hyperbolic approximation of a chosen set of fully nonlinear and weakly dispersive Boussinesq‐type equations. These equations provide, at a reasonably reduced cost, both a physically sound description of the nearshore dynamics and a complete representation of dispersive and ...
Antuono, M., Liapidevskii, V., Brocchini, M.   +2 more
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Nonlinear Dispersive Equations

2021
Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose–Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena ...
Christian Klein, Jean-Claude Saut
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Dispersive quantization and fractalization for multi-component dispersive equations

Physica D: Nonlinear Phenomena, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zihan Yin, Jing Kang, Changzheng Qu
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Modified dispersion equations—II

International Journal of Non-Linear Mechanics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Waves and Dispersive Equations

Oberwolfach Reports, 2005
Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide range of outcomes from finite time blow-up to scattering.
Carlos E. Kenig, Herbert Koch, Daniel Tataru   +2 more
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Dynamical equation for polarization dispersion

Optics Letters, 1991
Polarization dispersion in single-mode fiber that contains arbitrary birefringence is described through a vector differential equation. Monte-Carlo simulations using this equation show good agreement with experimental measurements in a randomly birefringent fiber and with a previously reported analytic expression for the length dependence of the ...
C D, Poole, J H, Winters, J A, Nagel
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Modified dispersive equations

International Journal of Non-Linear Mechanics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional Reproduction-Dispersal Equations and Heavy Tail Dispersal Kernels

Bulletin of Mathematical Biology, 2007
Reproduction-Dispersal equations, called reaction-diffusion equations in the physics literature, model the growth and spreading of biological species. Integro-Difference equations were introduced to address the shortcomings of this model, since the dispersal of invasive species is often more widespread than what the classical RD model predicts. In this
Baeumer, Boris, Kovács, Mihály, Meerschaert, Mark M.   +2 more
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Dispersive Revival Phenomena for Two‐Dimensional Dispersive Evolution Equations

Studies in Applied Mathematics
ABSTRACTIn this paper, we investigate dispersive revival phenomena of two‐dimensional linear spatially periodic dispersive evolution equations, defined on a rectangle with periodic boundary conditions and discontinuous initial profiles. We begin by studying the periodic initial‐boundary value problem for general two‐dimensional dispersive evolution ...
Zihan Yin, Jing Kang, Changzheng Qu
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Dispersive Partial Differential Equations

2016
The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a self-contained and accessible introduction for graduate or advanced undergraduate students in mathematics, engineering, and the physical sciences.
M. Burak Erdoğan, Nikolaos Tzirakis
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