ON THE DESCRIPTION OF SHORT-CRESTED WAVES

The procedure of Fuchs for the mathematical description of short-crested waves in water waves whose surface profile has two periodicities in perpendicular directions has been systematized by using the procedure of Stoker, a formal power-series expansion about the case of zero height. An additional order of approximation has been obtained, and it is pointed out that there is a restriction on the two wavelengths, if the solution is represented in the mathematical form chosen here. It is believed that this limitation is mathematical, not physical, and that it depends on the assumed form of the solution. Author