Journal
NONLINEARITY
Volume 29, Issue 3, Pages 1036-1046Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/29/3/1036
Keywords
coupling problem; long-time asymptotics; Camassa-Holm equation
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Funding
- Austrian Science Fund (FWF) [Y330]
- AXA Research Fund under the Mittag-Leffler Fellowship Project
- Austrian Science Fund (FWF) [Y330] Funding Source: Austrian Science Fund (FWF)
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We propose a novel technique for analysing the long-time asymptotics of integrable wave equations in the case when the underlying isospectral problem has a purely discrete spectrum. To this end, we introduce a natural coupling problem for entire functions, which serves as a replacement for the usual Riemann-Hilbert problem, which does not apply in these cases. As a prototypical example, we investigate the long-time asymptotics of the dispersionless Camassa-Holm equation.
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