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- Q7168650 subject Q5905276.
- Q7168650 abstract "Template:ForIn mathematics a periodic travelling wave (or wavetrain) is a periodic function of one-dimensional space that moves with constant speed. Consequently it is a special type of spatiotemporaloscillation that is a periodic function of both space and time. Periodic travelling waves play a fundamental role in many mathematicalequations, including self-oscillatory systems,excitable systems andreaction-diffusion-advection systems.Equations of these types are widely used as mathematical models of biology, chemistry and physics, and many examples in phenomena resembling periodic travelling waves havebeen found empirically.The mathematical theory of periodic travelling waves is most fullydeveloped for partial differential equations, but these solutionsalso occur in a number of other types of mathematical system,including integrodifferential equations, integrodifference equations,coupled map latticesandcellular automataAs well as being important in their own right, periodic travellingwaves are significant as the one-dimensional equivalent of spiral waves and target patterns in two-dimensional space, and of scroll waves in three-dimensional space.".
- Q7168650 thumbnail Schematic_animation_of_a_periodic_travelling_wave.gif?width=300.
- Q7168650 wikiPageExternalLink wavetrain.
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- Q7168650 comment "Template:ForIn mathematics a periodic travelling wave (or wavetrain) is a periodic function of one-dimensional space that moves with constant speed. Consequently it is a special type of spatiotemporaloscillation that is a periodic function of both space and time.".
- Q7168650 label "Periodic travelling wave".
- Q7168650 depiction Schematic_animation_of_a_periodic_travelling_wave.gif.