TRANSVERSE STABILITY OF KAWAHARA SOLITONS

Authors
KARPMAN VI
Citation
Vi. Karpman, TRANSVERSE STABILITY OF KAWAHARA SOLITONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(1), 1993, pp. 674-676
Citations number
6
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
1
Year of publication
1993
Pages
674 - 676
Database
ISI
SICI code
1063-651X(1993)47:1<674:TSOKS>2.0.ZU;2-#
Abstract
The transverse stability of the planar solitons described by the fifth -order Korteweg-de Vries equation (Kawahara solitons) is studied. It i s shown that the planar solitons are unstable with respect to bending if the coefficient at the fifth-derivative term is positive and stable if it is negative. This is in agreement with the dynamics of the two- dimensional Kawahara solitons.