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pro vyhledávání: '"Konopelchenko, Boris G."'
Publikováno v:
Advances in Mathematical Physics; 10/18/2024, Vol. 2024, p1-13, 13p
Autor:
Konopelchenko, Boris G., Moro, Antonio
We show that under certain assumptions a general model of nonlocal nonlinear response in 1+1-dimension is equivalent to the model considered by Krolikowski and Bang for a Kerr-type medium. We derive the limit of weak nonlocality in high frequency reg
Externí odkaz:
http://arxiv.org/abs/nlin/0511069
Publikováno v:
Journal of Mathematical Science,. 136(6), pp. 4411-4418 (2006)
Symmetry constraints for dispersionless integrable equations are discussed. It is shown that under symmetry constraints the dispersionless Veselov-Novikov equation is reduced to the 1+1-dimensional hydrodynamic type systems.
Comment: 14 pages, n
Comment: 14 pages, n
Externí odkaz:
http://arxiv.org/abs/nlin/0406023
Autor:
Konopelchenko, Boris G., Moro, Antonio
Publikováno v:
Stud. Appl. Math. vol. 113, pp.325-352 (2004)
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
Externí odkaz:
http://arxiv.org/abs/nlin/0403051
Autor:
Konopelchenko, Boris G., Moro, Antonio
Publikováno v:
Jour.Phys.A:Math.Gen., vol. 37, pp. L105-L111, (2004)
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 Veselo
Externí odkaz:
http://arxiv.org/abs/nlin/0312069
We describe our recent work on deformations of hyperelliptic curves by means of integrable hierarchy of hydrodynamic type (nlin.SI/0205012). We also discuss a further extension to the case of non-hyperelliptic curves.
Comment: 7 pages, Submitted
Comment: 7 pages, Submitted
Externí odkaz:
http://arxiv.org/abs/nlin/0210002
Publikováno v:
J.Phys.A33:7123-7135,2000
The Lax pseudo-differential operator plays a key role in studying the general set of KP equations, although it is normally treated in a formal way, without worrying about a complete characterization of its mathematical properties. The aim of the pres
Externí odkaz:
http://arxiv.org/abs/nlin/0004011
Integrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with $\dbar$-operators of non-zero index are studied. They arise as the restriction of the standard KP hierarchy to submanifols of finite codimension in
Externí odkaz:
http://arxiv.org/abs/solv-int/9806001
Akademický článek
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Autor:
KONOPELCHENKO, BORIS G., MORO, ANTONIO
Publikováno v:
Waves & Stability in Continuous Media - Proceedings of the 13th Conference on Wascom 2005; 2006, p298-303, 6p