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The dynamics of traveling waves for a nonlinear Belousov-Zhabotinskii system
, 2020In this paper, we consider the existence of traveling wave fronts in a Belousov-Zhabotinskii system with delay. By traveling wave transformation and time scale transformation, we change the Belousov-Zhabotinskii system with delay into a singularly ...
Z. Du, Qi Qiao
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Travelling Waves for the Brio System
Journal of Nonlinear Science, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fault Location for Radial Distribution Network via Topology and Reclosure-Generating Traveling Waves
IEEE Transactions on Smart Grid, 2019Fault location in distribution networks is difficult for multiple discontinuities, such as branches and junction points. This paper proposes a fault location scheme using network topology information and reclosure-generating traveling waves. Based on the
Shenxing Shi +3 more
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, 2013 Traveling waves are, mathematically speaking, partial differential equations which can be expresses as U(x-ct), where x is the spatial variable, t is time, and c is the speed of the wave.
Humpherys, Dr. Jeffery, Rudd, Keith
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Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations
SIAM Journal on Mathematical Analysis, 1982We consider scalar equations $u_t = f(u_{xx} ,u_x ,u)$ with $\frac{\partial }{{\partial \alpha }}f(\alpha ,\beta ,\gamma ) \geq 1$. We first determine the stability of the monotonic traveling wave solutions $u(t,x) = \phi (x - ct,c)$. We then study the continued existence and bifurcations of these solutions as the wavespeed c varies.
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Oscillations and travelling waves
1995A very important class of shell patterning is caused by pigment productions that occur only during a short time interval, followed by an inactive period without pigment production. Stripes parallel to the growing edge and oblique lines belong to this class of patterns. Oscillations can occur if the antagonist reacts too slowly.
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1990
Abstract In the previous chapter we dealt with the existence and spontaneous formation of stable spatially non-uniform patterns. Here, we consider another form of spatial behaviour. We envisage a (long) tube, initially containing a spatially uniform distribution of reactants.
Peter Gray, Stephen K Scott
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Abstract In the previous chapter we dealt with the existence and spontaneous formation of stable spatially non-uniform patterns. Here, we consider another form of spatial behaviour. We envisage a (long) tube, initially containing a spatially uniform distribution of reactants.
Peter Gray, Stephen K Scott
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Generalized traveling waves for time-dependent reaction–diffusion systems
Mathematische Annalen, 2020B. Ambrosio, A. Ducrot, S. Ruan
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