most citedAbsence of exponentially localized solitons for the Novikov--Veselov equation at negative energy

12 citations · 12 across the 1 of their papers we have counts for

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2 papers

math-ph2011★ 12 cited

Absence of exponentially localized solitons for the Novikov--Veselov equation at negative energy

Anna Kazeykina, Roman Novikov

We show that Novikov--Veselov equation (an analog of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.

cond-mat.other2004

Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential

Roman Novikov

For the Schrodinger equation at fixed energy with a potential supported in a bounded domain we give formulas and equations for finding scattering data from the Dirichlet-to-Neumann…