Pramana

, Volume 74, Issue 6, pp 857–865 | Cite as

Compactons versus solitons

Article

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.

Keywords

Compactons PT-symmetry KdV equation Painlevé test 

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Copyright information

© Indian Academy of Sciences 2010

Authors and Affiliations

  1. 1.Centre for Mathematical ScienceCity University London, Northampton SquareLondonUK

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