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

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Compactons, PT-symmetry, KdV equation, Painleve test, NON-HERMITIAN HAMILTONIANS, DE-VRIES EQUATIONS, SUPPORT, SYMMETRY
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/695

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