Analytical solutions for forced long waves on a sloping beachAnalytical solutions for forced long waves on a sloping beach Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-102003enWe derive analytic solutions for the forced linear shallow water equation of the following form: partial derivative(2)y/partial derivativet(2) - b partial derivative/partial derivativex (xpartial derivativeY/partial derivativex) - partial derivative(2)f/partial derivativet(2) for x > 0, in which Y(x, t) denotes an unknown variable, f (x, t) a prescribed forcing function and b a positive constant. This equation has been used to describe landslide-generated tsunamis and also long waves induced by moving atmospheric pressure distributions. We discuss particular and general solutions. We then compare our results with numerical solutions of the same equation and with the corresponding solutions of the nonlinear depth-integrated equations and discuss them in terms of landslide-generated tsunamis. http://creativecommons.org/licenses/by/4.0/Journal of Fluid Mechanics478101-109 Synolakis Kostas Συνολακης Κωστας Patrick Lynett L. Philip F. liu Waves, Seismic seismic waves waves seismic