ORIGIN OF THE PERSISTENT OSCILLATIONS OF SOLITARY WAVES IN NONLINEAR QUADRATIC MEDIA

Authors
ETRICH C PESCHEL U LEDERER F MALOMED BA KIVSHAR YS
Citation
C. Etrich et al., ORIGIN OF THE PERSISTENT OSCILLATIONS OF SOLITARY WAVES IN NONLINEAR QUADRATIC MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(4), 1996, pp. 4321-4324
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
4
Year of publication
1996
Part
B
Pages
4321 - 4324
Database
ISI
SICI code
1063-651X(1996)54:4<4321:OOTPOO>2.0.ZU;2-7
Abstract
We reveal the origin of the persistent oscillations of solitary waves in a quadratically nonlinear medium. It is found that the oscillations are closely correlated to a nontrivial discrete eigenmode of the corr esponding linear eigenvalue problem. In addition to this discrete eige nmode a quasibound mode, weakly coupled to the continuous spectrum, is identified. This gives rise to a long-living beating of the solitary wave amplitude.