Breather annihilation by simple dissipation

D. W. McLaughlin, E. A. Overman

Research output: Contribution to journalArticlepeer-review


A numerical experiment is conducted on the decay of a sine-Gordon breather under simple dissipation. Both the spatial configuration and the (nonlinear) spectral configurations are measured numerically. The spectral configuration establishes that the breather is annihilated in finite time and that the annihilation process is accomplished by the generation of a long-wavelength packet of dispersive radiation. The nonlinear radiation density, which is measured numerically, is seen to be order 1 and is extremely well approximated by a sech profile in k space. Finally, a representation of the spectral configuration by "resonance" states is investigated.

Original languageEnglish (US)
Pages (from-to)3497-3507
Number of pages11
JournalPhysical Review A
Issue number6
StatePublished - 1982

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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