Some properties of soliton solutions of the generalized Zakharov system

  • Gerard A. Maugin
  • Hichem Hadouaj
  • Boris A. Malomed


A generalization of the well known Zakharov system of ionacoustic waves (Langmuir solitons) has been obtained while studying the coupling between shear-horizontal surface waves and Rayleigh surface waves propagating on a structure made of a nonlinear elastic substrate and a superimposed thin elastic film. We obtain thus a nearly integrable system made of a nonlinear Schrödinger equation coupled to two wave equations for the secondary acoustic system. Here we present essentially some comments and results of numerical simulations (pure SH mode, coupled case, influence of dissipation in the Rayleigh subsystem, collisions of solitons).