Chemical wave packet propagation, reflection, and spreading
Chemical waves can travel in well-defined packets.
Two types of phase wave packets, distinguished by whether their component waves move
toward or away from an initiating perturbation, are found
in a reaction-diffusion model with a finite wave instability.
Their propagation, reflection, and spreading are studied
numerically and analytically.
Reflection from a boundary or collision of two identical packets
can result in standing waves.
When two wave packets collide, they can interact briefly
and then pass through each other without modification.
The phase velocity, group velocity, and spreading velocity calculated
by linear stability analysis with the inclusion of quadratic dispersion
agree well with the results of numerical simulations.
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