Biomedical subjects
Publications and source records attributed to L Poladian.
The dynamics of self-written waveguides in bulk photosensitive media is studied in detail and contrasted with previous results for planar geometry. We investigate the symmetry and integrability properties of the coupled nonlinear partial differential equations which describe this process. We derive similarity-reduced differential equations and study some of these equations numerically.
We study the equations describing planar self-written waveguides through group theoretical methods. We show the equations are nonintegrable through Painlevé analysis. Using Lie group analysis we construct a class of exact solutions for this problem. We also show the previously reported modal ansatz solutions can be recovered from our present results as a special case.
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