Electromigration-induced propagation of nonlinear surface waves

Electromigration-induced propagation of nonlinear surface waves.

Due to the effects of surface electromigration, waves can propagate over the free surface of a current-carrying metallic or semiconducting film of thickness h(0). In this paper, waves of finite amplitude, and slow modulations of these waves, are studied. Periodic wave trains of finite amplitude are found, as well as their dispersion relation. If the film material is isotropic, a wave train with...

Nonlinear Hyperbolic Surface Waves

We describe examples of hyperbolic surface waves and discuss their connection with initial boundary value and discontinuity problems for hyperbolic systems of PDEs that are weakly but not uniformly stable.

Propagation of nonlinear waves in disordered media

We study the propagation of stationary waves in disordered non-linear media described by the nonlinear Schrödinger equation and show that for given boundary conditions and a given coherent wave incident on the sample, the number of solutions of the equation increases exponentially with sample size. We also discuss the ballistic case, the sensitivity of the solutions to the change of external pa...

Nonlinear propagation of planet-generated tidal waves

The propagation and evolution of planet-generated density waves in protoplanetary disks is considered. The evolution of waves, leading to the shock formation and wake dissipation, is followed in the weakly nonlinear regime. The local approach of Goodman & Rafikov (2001) is extended to include the effects of surface density and temperature variations in the disk as well as the disk cylindrical g...

Nonlinear Propagation of Electromagnetic Waves in Antiferromagnet