8 citations · 15 across the 3 of their papers we have counts for
5 papers
Baker-Akhiezer spinor kernel and tau-functions on moduli spaces of meromorphic differentials
Caroline Kalla, Dmitry Korotkin
In this paper we study Baker-Akhiezer spinor kernel on moduli spaces of meromorphic differentials on Riemann surfaces. We introduce the Baker-Akhiezer tau-function which is related…
Computation of the topological type of a real Riemann surface
C. Kalla, C. Klein
We present an algorithm for the computation of the topological type of a real compact Riemann surface associated to an algebraic curve, i.e., its genus and the properties of the se…
New construction of algebro-geometric solutions to the Camassa-Holm equation and their numerical evaluation
C. Kalla, C. Klein
An independent derivation of solutions to the Camassa-Holm equation in terms of multi-dimensional theta functions is presented using an approach based on Fay's identities. Reality…
Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions
Caroline Kalla
We present new solutions in terms of elementary functions of the multi-component nonlinear Schrödinger equations and known solutions of the Davey-Stewartson equations such as multi…
New degeneration of Fay's identity and its application to integrable systems
C. Kalla
In this paper we prove a new degenerated version of Fay's trisecant identity. The new identity is applied to construct new algebro-geometric solutions of the multi-component nonlin…