Integrable Equations in Nonlinear Geometrical Optics
نویسندگان
چکیده
منابع مشابه
Integrable Equations in Nonlinear Geometrical Optics
Geometrical optics limit of the Maxwell equations for nonlinear media with the Cole-Cole dependence of dielectric function and magnetic permeability on the frequency is considered. It is shown that for media with slow variation along one axis such a limit gives rise to the dispersionless Veselov-Novikov equation for the refractive index. It is demonstrated that the Veselov-Novikov hierarchy is ...
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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 dielectric constant on the frequency and fields gives rise to the dispersionless Veselov-Novikov equation for refractive index. It is demonstrated that the last one is amenable to the quasiclassical ∂̄-dressing method. A connection is ...
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2004
ISSN: 0022-2526,1467-9590
DOI: 10.1111/j.0022-2526.2004.01536.x