Papers Wilton published during this period include: On plane waves of sound (1913); On the highest wave in deep water (1913); On deep water waves (1914); Figures of equilibrium of rotating fluid under the restriction that the figure is to be a surface of revolution (1914); On the potential and force function of an electrified spherical bowl (1914-15); On ripples (1915); On the solution of certain problems of two-dimensional physics (1915); A pseudo-sphere whose equation is expressible in terms of elliptic functions (1915); and A formula in zonal harmonics (1916-17).
He returned to Australia where he was Professor of Mathematics at Adelaide University from 1920 until his death in 1944. He joined the Edinburgh Mathematical Society in February 1928.
An interesting account of his life is given in the obituary at THIS LINK
Article by: J J O'Connor and E F Robertson