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Interaction of Elastic Waves
Author(s) -
Hunter John K.
Publication year - 1992
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1992864281
Subject(s) - sawtooth wave , wave packet , longitudinal wave , physics , nonlinear system , subharmonic , mathematical analysis , transverse wave , classical mechanics , wave speed , initial value problem , transverse plane , mathematics , wave propagation , quantum mechanics , computer science , engineering , structural engineering , computer vision
We derive and analyze asymptotic equations for the interaction of weakly nonlinear elastic waves. We show that there are resonant triads involving two transverse and one longitudinal wave provided the wave speeds satisfy a certain irrationality condition. We study initial value and signaling problems, and the interaction of sawtooth wave packets.