Numerical solution to the dimensionless SPDEs with parameters

*Γ*_{e}=0.87×10

^{−3},

*α*=0.001, and periodic boundary conditions in space. At

*t*={0, 5000},

*P*_{ee}=11.0 uniform in space. For 500 ms<

*t*<5000 ms

*P*_{ee} is a Gaussian function in space with maximum

at

*x*=350 mm and full width at half maximum 46 mm. In subfigure (

*a*), the maximum

at

*t*={500, 1000, 1500, 2000, 2500} ms, respectively. These increases in

are denoted by the solid vertical lines. In subfigure (

*b*), the maximum

at

*t*={3000, 3500, 4000, 4500} ms, respectively. These decreases in

are denoted by the dashed vertical lines. Space (in mm) and time (in ms) are plotted along the vertical and horizontal axes, respectively. The value of

*h*_{e} is plotted in linear greyscale with

*h*_{e}=−100 mV in white and

*h*_{e}=0.0 mV in black. Waves in

*h*_{e} are localized in space and time to the region of hyperexcitation near

*x*=350 mm for 1800 ms<

*t*<3800 ms.

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