Multi-hump pulses in systems with reflection and phase invariance

We investigate the existence and stability of standing and travelling multi-hump waves in partial differential equations with reflection and phase symmetries. We focus on 2- and 3-pulse solutions that arise near bi-foci and apply our results to the complex cubic-quintic Ginzburg–Landau equation.

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Bibliographic Details
Published in:Journal of Differential Equations 2009-09, Vol.247 (6), p.1866-1898
Main Authors: Manukian, Vahagn, Sandstede, Björn
Format: Article
Language:English
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Summary:We investigate the existence and stability of standing and travelling multi-hump waves in partial differential equations with reflection and phase symmetries. We focus on 2- and 3-pulse solutions that arise near bi-foci and apply our results to the complex cubic-quintic Ginzburg–Landau equation.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2009.06.010