TY - JOUR
T1 - Shortwave birfurcation in a model of a seismically active medium and dominant frequencies
AU - Malomed, B. A.
AU - Mitlin, V. S.
AU - Nikolayevskii, V. N.
PY - 1991
Y1 - 1991
N2 - The evolution equations for nonlinear seismic waves possessing a bounded range of frequencies with increasing amplitudes are analysed. It is shown from the evolution equations that the momentum of the system is conserved, and properties of the energy functional are investigated. The spatial period of the mode with the greatest amplification of the initial perturbation is studied. Conservation of convective nonlinearity leads to a stable stationary structure travelling with the velocity of the nonlinear seismic waves.
AB - The evolution equations for nonlinear seismic waves possessing a bounded range of frequencies with increasing amplitudes are analysed. It is shown from the evolution equations that the momentum of the system is conserved, and properties of the energy functional are investigated. The spatial period of the mode with the greatest amplification of the initial perturbation is studied. Conservation of convective nonlinearity leads to a stable stationary structure travelling with the velocity of the nonlinear seismic waves.
UR - http://www.scopus.com/inward/record.url?scp=44949285317&partnerID=8YFLogxK
U2 - 10.1016/0021-8928(91)90113-9
DO - 10.1016/0021-8928(91)90113-9
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AN - SCOPUS:44949285317
SN - 0021-8928
VL - 55
SP - 665
EP - 673
JO - Journal of Applied Mathematics and Mechanics
JF - Journal of Applied Mathematics and Mechanics
IS - 5
ER -