Some properties of soliton solutions of the generalized Zakharov system
Abstract
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).Downloads
Published
Issue
Section
License
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.