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Rotating Waves in a Parabolic Problem with a Transformed Argument

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Abstract

A study is made of the bifurcation of periodic, orbitally stable, spatially-inhomogeneous, rotating wave-type solutions generated from spatially-homogeneous, stationary solutions of a parabolic equation through transformation of a rotation of the spatial coordinate. This equation arises in modelling the self interaction of a light field in an optical resonator with distributed feedback.

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Belan, E.P. Rotating Waves in a Parabolic Problem with a Transformed Argument. Journal of Mathematical Sciences 107, 4437–4442 (2001). https://doi.org/10.1023/A:1012516803442

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