Jumping solitary waves in an autonomous reaction-diffusion system with subcritical wave instability |
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Authors: | Yang Lingfa Zhabotinsky Anatol M Epstein Irving R |
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Institution: | Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA. |
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Abstract: | 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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