Inverse scattering problems in several dimensions
Gregory Eskin, James Ralston (1993)
Journées équations aux dérivées partielles
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Inverse scattering problems in several dimensions
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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.