Journal
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
Volume 8, Issue 40, Pages 4647-4651Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/b609214d
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We describe a new type of solitary waves, which propagate in such a manner that the pulse periodically disappears from its original position and reemerges at a fixed distance. We find such jumping waves as solutions to a reaction-diffusion system with a subcritical short-wavelength instability. We demonstrate closely related solitary wave solutions in the quintic complex Ginzburg-Landau equation. We study the characteristics of and interactions between these solitary waves and the dynamics of related wave trains and standing waves.
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