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## Abelian Functions for Trigonal Curves of Genus Three

- J. C. Eilbeck, V. Enolski, S. Matsutani, Y. Ônishi, E. Previato
- Mathematics
- 30 September 2006

We develop the theory of generalized Weierstrass sigma- and \wp-functions defined on a trigonal curve of genus three. In particular we give a list of the associated partial differential equations… Expand

## Inversion of a general hyperelliptic integral and particle motion in Hořava–Lifshitz black hole space-times

- V. Enolski, B. Hartmann, V. Kagramanova, J. Kunz, C. Lämmerzahl, Parinya Sirimachan
- Mathematics
- 31 January 2012

The description of many dynamical problems such as the particle motion in higher dimensional spherically and axially symmetric space-times is reduced to the inversion of hyperelliptic integrals of… Expand

## Thomae Type Formulae For Singular ZN Curves

- V. Enolski, T. Grava
- Mathematics
- 7 February 2006

AbstractWe give an elementary and rigorous proof of the Thomae type formula for the singular curves
$$\mu^N=\prod_{j=1}^m(\lambda-\lambda_{2j})^{N-1}\prod_{j=0}^{m}(\lambda-\lambda_{2j+1})$$. To… Expand

## Remarks on the complex geometry of the 3-monopole

- H. Braden, V. Enolski
- Mathematics
- 20 January 2006

We develop the Ercolani-Sinha construction of SU(2) monopoles and make this effective for (a five parameter family of centred) charge 3 monopoles. In particular we show how to solve the… Expand

## Singular ZN-curves and the Riemann-Hilbert problem

- V. Enolski, T. Grava
- Mathematics
- 2004

We are solving the classical Riemann-Hilbert problem of rank N > 1 on the extended complex plane punctured in 2m+2 points, for N × N quasi-permutation monodromy matrices. The Riemann-Hilbert problem… Expand

## The charge $2$ monopole via the ADHMN construction

- H. Braden, V. Enolski
- PhysicsAdvances in Theoretical and Mathematical Physics
- 2 March 2019

Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean monopole. Here we do… Expand

## Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity

- V. Enolski, E. Hackmann, V. Kagramanova, J. Kunz, C. Lammerzahl
- Mathematics
- 30 November 2010

## Multi-variable sigma-functions: old and new results

- V. Buchstaber, V. Enolski, D. Leykin
- Mathematics
- 25 October 2018

We consider multi-variable sigma function of a genus $g$ hyperelliptic curve as a function of two group of variables -jacobian variables and parameters of the curve. In the theta-functional… Expand

## Effective integration of the nonlinear vector Schrödinger equation

- J. Elgin, V. Enolski, A. Its
- Mathematics
- 30 January 2005

## On charge-3 cyclic monopoles

- H. Braden, A. Davanzo, V. Enolski
- Mathematics
- 17 June 2010

We determine the spectral curve of charge-3 BPS su(2) monopoles with C3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus 2. A well adapted… Expand

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