wave equationWaveEquation2007-08-10 13:53:152008-10-14 14:30:45Definition(see also \PMlinkname{Hamiltonian operator}{QuantumHamiltonianOperator})types of wave equations% this is the default PlanetMath preamble. as your knowledge
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% define commands hereAny \emph{wave equation} describes the propagation in space-time of a wave (or periodic motion, oscillation, `physical pereturbation' or 'signal') in terms of certain types of differential equations (such as partial differential ones); the solutions of such wave equations--usually with additonal boundary conditions-- are either propagating or stationary waves; there are numerous types of waves, and thus, there are many different types of wave equations.
The following is a short list of such wave equations, that is however not intended to be comprehensive.
\subsection{Types of Wave Equations}
\begin{enumerate}
\item Elastic wave equation and Hook's Law
\item Equation for sound wave propagation
\item Wave equation for heat transfer
\item Maxwell's equations for electromagnetic wave propagation
\item Schr\"odinger 'wave' equantion for electrons
\item Heisenberg's quantum dynamic equations
\item Dirac relativistic wave equation
\item Soliton wave equations
\item Spin wave equations
\item Einstein's gravitational wave equations
\end{enumerate}