Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 160, Issue 1, Pages 917-924Publisher
SPRINGER
DOI: 10.1007/s11232-009-0081-8
Keywords
photorefractive medium; dark soliton; stability; Evans function
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Biased photorefractive media are known to admit bright and dark solitons. The bright solitons in these media are always stable, but their dark counterparts are unstable above a certain background intensity and below a critical velocity. We use the stability criterion and the Vakhitov-Kolokolov function to precisely determine the unstable-parameter region. We also predict the strength of the instability by determining the unstable eigenvalues and eigenmodes using the Evans function method. Numerical simulation of the full evolution equation confirms the results.
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