3 citations · 5 across the 4 of their papers we have counts for
12 papers
Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem
Jeffrey S. Geronimo, Fritz Gesztesy, Helge Holden
We derive theta function representations of algebro-geometric solutions of a discrete system governed by a transfer matrix associated with (an extension of) the trigonometric momen…
Stability of solutions of quasilinear parabolic equations
Giuseppe Maria Coclite, Helge Holden
We bound the difference between solutions and of $u_t = aΔu+\Div_x f+h$ and $v_t = bΔv+\Div_x g+k$ with initial data and , respectively, by $\Vert u(t,\cdot)-v(t,\c…
Spectral Analysis of Darboux Transformations for the Focusing NLS Hierarchy
Radu C. Cascaval, Fritz Gesztesy, Helge Holden +1
We study Darboux transformations associated with the focusing nonlinear Schrödinger equation (NLS_-) and their effect on spectral properties of the underlying Lax operator. The lat…
Real-Valued Algebro-Geometric Solutions of the Camassa--Holm hierarchy
Fritz Gesztesy, Helge Holden
We provide a treatment of real-valued, smooth, and bounded algebro-geometric solutions of the Camassa--Holm (CH) hierarchy and describe the associated isospectral torus. We also di…
Algebro-Geometric Solutions of the Camassa--Holm hierarchy
Fritz Gesztesy, Helge Holden
We provide a detailed treatment of the Camassa--Holm (CH) hierarchy with special emphasis on its algebro-geometric solutions. In analogy to other completely integrable hierarchies…
The classical massive Thirring system revisited
V. Z. Enolskii, F. Gesztesy, H. Holden
We provide a complete treatment of algebro-geometric solutions of the classical massive Thirring system. In particular, we study Dubrovin-type equations for auxiliary divisors, con…