# Differential Geometry Applied to Acoustics: Non Linear Propagation in Reissner Beams

@inproceedings{Bensoam2013DifferentialGA, title={Differential Geometry Applied to Acoustics: Non Linear Propagation in Reissner Beams}, author={Jo{\"e}l Bensoam}, booktitle={International Conference on Geometric Science of Information}, year={2013} }

Although acoustics is one of the disciplines of mechanics, its “geometrization” is still limited to a few areas. As shown in the work on nonlinear propagation in Reissner beams, it seems that an interpretation of the theories of acoustics through the concepts of differential geometry can help to address the non-linear phenomena in their intrinsic qualities. This results in a field of research aimed at establishing and solving dynamic models purged of any artificial nonlinearity by taking…

## One Citation

### Non Linear Propagation in Reissner Beams: An Integrable System?

- MathematicsGSI
- 2017

In the seventies, Arnold has a geometric approach by considering a dynamical system as a map taking values in an abstract Lie group, and this multi-symplectic approach can be related to the study of harmonic maps for which two dimensional cases can be solved exactly.

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