Compactons versus solitons |
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Authors: | Paulo E G Assis and Andreas Fring |
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Institution: | (2) Department of Mathematics, Saint Xavier University, Chicago, USA; |
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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. |
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Keywords: | |
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