(adsbygoogle = window.adsbygoogle || []).push({}); What is the meaning of the wave equation.....in English??!!!

Everybody knows one dimensional wave equation [tex]\frac{\partial^2u}{\partial t^2} = c^2 \frac{\partial^2u}{\partial x^2}[/tex]

This together with verious boundary and initial condition give various solution of u(x,t). Also it can be transform by D'Alembert solution into two waves traveling forward and backward. From D'Alembert, it shows that "c" is thePROPAGATING velocityalong x axis in this case.

1) But what is .[tex]\frac{\partial^2u}{\partial t^2} = c^2 \frac{\partial^2u}{\partial x^2}[/tex]. really mean in physical world.

From study of Electromagnetics, my understanding is wave equation represent atransverse wavebecause u(x,t) is orthogonal to the direction of propagation.

2) What is Poisson's equation .[tex]\nabla^2 u = A[/tex]. mean in physical world? I know it is a steady state function.

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# What is the meaning of the wave equation .in English?

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