Boris G Konopelchenko and Antonio Moro 2004 J. Phys. A: Math. Gen. 37 L105 doi:10.1088/0305-4470/37/10/L01
Geometrical optics in nonlinear media and integrable equations
FREE ARTICLEBoris G Konopelchenko and Antonio Moro
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It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media with slow variation along one axis and particular dependence of the dielectric constant on frequency and fields gives rise to the dispersionless Veselov–Novikov equation for the refractive index. It is demonstrated that the dispersionless Veselov–Novikov hierarchy is amenable to the quasiclassical 
-dressing method. A connection is noted between the geometrical optics phenomena under consideration and the quasiconformal mappings on the plane.
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Issue 10 (12 March 2004)
Received 5 January 2004
Published 24 February 2004
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Geometrical optics in nonlinear media and integrable equations
Boris G Konopelchenko and Antonio Moro 2004 J. Phys. A: Math. Gen. 37 L105
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