Solving u_tt = u_xx + u_xxxx

[Mugged]

anyone have any ideas on a technique to tackle this PDE:

$u_{tt}$ = $u_{xx}$ + $u_{xxxx}$

its like a 4th order wave equation

any help or references would be appreciated

 

[JJacquelin]

it looks like a kind of Boussinesq equation :
http://mathworld.wolfram.com/BoussinesqEquation.html
To solve it, try the method of separation of variables :
http://mathworld.wolfram.com/SeparationofVariables.html