title: Extended Class of Dubrovin's Equations Related to the One-Dimensional Quantum Three-Body Problem
metadata.name: dc.contributor.author
metadata.value: DMITRIEVA, L. A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: KUPERIN, Yu. A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2015-08-24T14:19:39Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2015-08-24T14:19:39Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 1997
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1681
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The relation of the quantum 1D three-body problems with zero-range interaction to
  the matrix Riemann-Hilbert problem with meromorphic coefficient is shown. The solution of this
  problem is discussed using the exact analytic diagonalization of the coefficient. The problem is
  reduced to the boundary value problem on the Riemann surface. The solution of this problem is
  expressed in terms of the Riemann theta-functions. An extended class of integrable Dubrovin's type
  ordinary differential equations related to the one-dimensional quantum three-body problem is derived
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: EC-Russia collaboration (Esprit P9282 ACTCS)
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Computers Math. Applic.
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Three-body problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Riemann-Hilbert problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Dubrovin's Wpe equation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Extended Class of Dubrovin's Equations Related to the One-Dimensional Quantum Three-Body Problem
metadata.lang: en_GB
metadata.name: dc.contributor.altauthor
metadata.value: RUDIN, G. E.
metadata.lang: -
resources.filename: Extended Class_of Dubrovins Equations.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1681/1/Extended%20Class_of%20Dubrovins%20Equations.pdf
resources.format: Adobe PDF
resources.size: 879,02 kB