Soliton sonification-experiments with the Korteweg-de Vries equation

Conference contribution
(Conference Contribution)


Publication Details

Author(s): Rabenstein R
Publication year: 2012
Pages range: 71-78


Abstract


Solitons are special solutions of certain nonlinear partial differential equations of mathematical physics. They exhibit properties that are partly similar to the solutions of the linear wave equation and partly similar to the behaviour of colliding particles. Their characteristic features are well-known in the mathematical literature but few closed-form solutions are available. This contribution derives algorithmic structures for the computation of solitons in a dimensionless space-time domain which can be scaled to the audio frequency range. The investigations are confined to first and second order solutions of the Korteweg-de Vries equation. Sound examples show that the effects of wave propagation and soliton interaction can be represented by audible events.



FAU Authors / FAU Editors

Rabenstein, Rudolf Prof. Dr.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Rabenstein, R. (2012). Soliton sonification-experiments with the Korteweg-de Vries equation. (pp. 71-78). York, GB.

MLA:
Rabenstein, Rudolf. "Soliton sonification-experiments with the Korteweg-de Vries equation." Proceedings of the 15th International Conference on Digital Audio Effects, DAFx 2012, York 2012. 71-78.

BibTeX: 

Last updated on 2018-10-08 at 08:38