Displaying similar documents to “On a direct construction of inverse scattering problems for integrable nonlinear evolution equations in the two-spatial dimension.”

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

Anna Kazeykina (2013)

Journées Équations aux dérivées partielles

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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.

How to characterize commutativity equalities for Drazin inverses of matrices

Yong Ge Tian (2003)

Archivum Mathematicum

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Necessary and sufficient conditions are presented for the commutativity equalities A * A D = A D A * , A A D = A D A , A A A D = A D A A , A A D A * = A * A D A and so on to hold by using rank equalities of matrices. Some related topics are also examined.