Damping of steady-state waves in systems described by a nonlinear Klein-Gordon equation

Autor: Pelinovskii, E. N., Shavratskii, S. Kh.
Zdroj: Journal of Applied Mechanics and Technical Physics; September 1974, Vol. 15 Issue: 5 p628-631, 4p
Abstrakt: The damping of a nonsinusoidal wave in systems described by a Klein-Gordon equation is investigated by the method of averaging. An explicit solution is given for an initial-value problem. It is shown that in certain cases the prolonged existence of a steady-state wave is impossible. Dissipation can lead to the damping out of the wave. The characteristic features of the boundary-value problem are discussed. Formulas are obtained describing the damping of single pulses (solitons).
Databáze: Supplemental Index