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24 April 2024

» pubmed » pmid16090399

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Self-organization of two-dimensional waves in an active dispersive-dissipative nonlinear medium
Sergey Saprykin ; Evgeny A Demekhin ; Serafim Kalliadasis ;
Date:	10 Jun 2005
Journal:	Phys Rev Lett, 94 (22), 224101
Abstract:	We consider the pattern-formation dynamics of a two-dimensional (2D) nonlinear evolution equation that includes the effects of instability, dissipation, and dispersion. We construct 2D stationary solitary pulse solutions of this equation, and we develop a coherent structures theory that describes the weak interaction of these pulses. We show that in the strongly dispersive case, 2D pulses organize themselves into V shapes. Our theoretical findings are in good agreement with time-dependent computations of the fully nonlinear system.
Source:	PubMed, pmid16090399
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