Analytical and numerical solutions to initial-boundary value problems of the water wave motion in a reservoir.
Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method.
Asymptotic analysis of surface waves due to high-frequency disturbances
The present paper is devoted to the asymptotic analysis of the linear unsteady surface waves. We study two problems concerned with high-frequency surface and submerged disturbances. The two-scale asymptotic series are obtained for the velocity potential. The principal terms in the asymptotics of some hydrodynamical characteristics of the wave motion (the free surface elevation, the energy, etc.) are described.
Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions.
Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system