Diffractons: Solitary Waves Created by Diffraction in Periodic Media
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Numerical Mathematics Group
Date
2015-03-31Online Publication Date
2015-03-31Print Publication Date
2015-01Permanent link to this record
http://hdl.handle.net/10754/550149
Metadata
Show full item recordAbstract
A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. These solitary waves depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior, and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodically varying sound speed. They share some properties with known classes of solitary waves but possess important differences as well.Citation
Diffractons: Solitary Waves Created by Diffraction in Periodic Media 2015, 13 (1):440 Multiscale Modeling & SimulationJournal
Multiscale Modeling & SimulationarXiv
1312.4122Additional Links
http://epubs.siam.org/doi/10.1137/130946526ae974a485f413a2113503eed53cd6c53
10.1137/130946526