City Research Online

Compactons versus solitons

Assis, P. E. G. & Fring, A. (2010). Compactons versus solitons. Pramana, 74(6), pp. 857-865. doi: 10.1007/s12043-010-0078-8


We investigate whether the recently proposed PT-symmetric extensions of generalized Korteweg-de Vries equations admit genuine soliton solutions besides compacton solitary waves. For models which admit stable compactons having a width which is independent of their amplitude and those which possess unstable compacton solutions the Painlevé test fails, such that no soliton solutions can be found. The Painlevé test is passed for models allowing for compacton solutions whose width is determined by their amplitude. Consequently, these models admit soliton solutions in addition to compactons and are integrable.

Publication Type: Article
Publisher Keywords: Compactons, PT-symmetry, KdV equation, Painleve test, NON-HERMITIAN HAMILTONIANS, DE-VRIES EQUATIONS, SUPPORT, SYMMETRY
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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