پاشش (امواج آب)

${\displaystyle {\varphi }_{tt}-{\varphi }_{xx}+\varphi =0}$

${\displaystyle \varphi (t,x)=\mathrm{\Sigma }c(\omega ,k)e^{i(\omega t+kx)}}$

${\displaystyle {\omega }^2=k^2+1}$

${\displaystyle {\varphi }_t+\frac{3}{2}{\varphi }_x+\frac{1}{6}{\varphi }_{xxx}=0}$

${\displaystyle \omega =\frac{3}{2}k-\frac{1}{6}{k}^3}$