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Exact solutions for optical wave propagation including transverse effects

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Abstract

It is shown that the problem of dispersive self-modulation of waves including one transverse dimension and the three-dimensional self-focusing and self-defocusing theories has exact nontrivial analytic solutions. These are solutions compatible with cylindrical geometry and self-similar solutions that describe intermediate asymptotic, or long-time, behavior. These solutions are all obtained from symmetry considerations only.

© 1990 Optical Society of America

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