Article ID Journal Published Year Pages File Type
1899085 Physica D: Nonlinear Phenomena 2006 6 Pages PDF
Abstract

The vector complex Swift–Hohenberg equation is a natural extension of the scalar complex version that is widely used for the description of lasers and other non-linear optical systems. Numerical analysis of this equation reveals a great variety of patterns and structures such as traveling waves, spiral waves, defects, segregation and competition between stable solutions. Simple analytical arguments are given to explain these behaviours.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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