Geometrical optics in nonlinear media and integrable equations

DOI10.1088/0305-4470/37/10/L01zbMath1038.78002arXivnlin/0312069MaRDI QIDQ4466226

Antonio Moro, B. G. Konopelchenko

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0312069

zbMATH Keywords

Maxwell equationsdressing methodquasiconformal mappingsrefractive indexdispersionless Veselov-Novikov equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric optics (78A05)

Related Items (4)

Light propagation in a Cole-Cole nonlinear medium via the Burgers-Hopf equation ⋮ Bright solitons of the variants of the Novikov-Veselov equation with constant and variable coefficients ⋮ 2-soliton-solution of the Novikov-Veselov equation ⋮ Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation

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