wave motion through mangrove forests in the presence of a ‎viscoelastic bed due to a line source

The present paper is concerned with a study of water waves generated due to the presence of a line ‎singularity (source) with time harmonic strength as well as impulsive strength through mangrove forests ‎in the presence of a viscoelastic bed. the trunks of mangroves are assumed to be in the upper layer ‎inviscid fluid, while the roots of mangroves are inside the viscoelastic bed. the equation of motion in ‎the viscoelastic region is obtained by coupling the voigt’s model with the equation of motion in the ‎presence of mangroves. the expressions for the potential functions in the two layers are obtained. the ‎forms of the surface and interface waves are depicted graphically for realistic values of kinematic ‎viscosity and shear modulus of elasticity, the line source being submerged in the upper layer‎.