Physical review. B, Condensed matter · 2001 · 194 citations · 14 references
Natural SciencesMaterials SciencePhysicsAcousticsSolid State PhysicsUltrasoundAcoustic Wave PropagationNonlinear AcousticsNonlinear OpticsPhysical AcousticsUltrasonicsUltrasound PhysicsAcoustic NonlinearitiesKorteweg - De Vries EquationPhonon Dispersion RelationsSoliton PropagationSolitonsUltrasonic PropagationUltrasonic WavesWave Propagation In Solids
We have used the picosecond ultrasonic technique to study the formation of acoustic solitons. In these experiments, a longitudinal acoustic pulse is generated at one surface of a sample. After the pulse has propagated across the sample, its shape is modified as a result of phonon dispersion and nonlinearity. We have found that the change in the pulse shape can be described by the Korteweg--de Vries equation. The experiments have been performed on Si, MgO, \ensuremath{\alpha}-quartz, and sapphire. For each sample, we have observed fully developed acoustic solitons, with pulse shapes that are in reasonable agreement with the results of computer simulations.
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K. J. Whiteman · Physics Bulletin · 1975 · 7.1K citations
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Studies in Applied Mathematics · 1974 · 3.2K citations
Surface generation and detection of phonons by picosecond light pulses
C. Thomsen, H. T. Grahn, Humphrey J. Maris et al. · Physical review. B, Condensed matter · 1986 · 1.6K citations