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researcher

Y. Brezhnev

22 papers hereh-index 9266 citations54 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author19
  • first author2
  • last author1

Across the 22 of 22 papers where every author was matched, so the position is known.

fields
  • nlin.SI9
  • math.CA8
  • quant-ph3
  • math.GM1
  • math-ph1

identity via Semantic Scholar / OpenAlex

activity
20002026
most citedSpectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials

11 citations · 63 across the 21 of their papers we have counts for

collaborators
Showing 2001Show all

2 papers · 1 filter

nlin.SI2001★ 1 cited

On the Dubrovin Equations for the Finite-gap Potentials

Yurii V. Brezhnev

The general technique of derivation of Dubrovin's equation for the arbitrary operator pencils is suggested. The question of unique recovering of the finite-gap potential by coordin…

nlin.SI2001★ 7 cited

Elliptic Solitons with Free Constants and their Isospectral Deformations

Yu. V. Brezhnev

New exact solvable elliptic potentials with free constants for the spectral problems of the third order are found. A time dependence of such potentials gives their isospectral defo…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.