Oblique envelope solutions of the Davey–Stewartson equations in intermediate water depth

Various types of envelope solutions of modulated Stokes waves may exist depending on the relative signs of terms representing dispersive and nonlinear effects. In this study, the variation of the zeroes of the dispersive and nonlinear terms in the equation governing evolution of the envelope is determined as a function of dimensionless water depth kh and oblique angle α, and solitary and periodic oblique envelope solutions are described for the general case of intermediate water depth.