Solitons and large time behavior of solutions of a multidimensional integrable equation | Zendy

Anna Kazeykina | Zendy

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Solitons and large time behavior of solutions of a multidimensional integrable equation

Author(s) -

Anna Kazeykina

Publication year - 2014

Publication title -

journées équations aux dérivées partielles

Language(s) - English

Resource type - Journals

eISSN - 2118-9366

pISSN - 0752-0360

DOI - 10.5802/jedp.102

Subject(s) - novikov self consistency principle , mathematical physics , integrable system , inverse , physics , transformation (genetics) , mathematics , pure mathematics , geometry , chemistry , biochemistry , gene

Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.

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