• anonymous
Is $$y=Ae^{-x-t^2}$$ a wave? I'm testing it by using the wave equation:$\frac{\partial ^2}{\partial x^2}=\frac{1}{u^2} \frac{\partial ^2}{\partial t^2}$So I currently have$\frac{\partial ^2}{\partial x^2}=Ae^{-x-t^2}$and$\frac{\partial ^2}{\partial t^2}=Ae^{-x-t^2} [-2+4t^2]$Normally, a wave has the form $$kx-\omega t$$, and the velocity can be calculated from that, but this one has a $$t^2$$, which confuses me. Any thoughts?
Physics

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