779 citations
- Centre National de la Recherche ScientifiqueFR575 papers
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Showing 2011 · math-phShow all
3 papers · 2 filters
math-ph2011★ 3 cited
Low- asymptotic expansion of the solution to the Yang-Yang equation
K. K. Kozlowski
We prove that the unique solution to the Yang-Yang equation arising in the context of the thermodynamics of the so-called non-linear Schrödinger model admits a low-temperature expa…
math-ph2011★ 8 cited
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…
math-ph2011★ 23 cited
On the numerical evaluation of algebro-geometric solutions to integrable equations
C. Kalla, C. Klein
Physically meaningful periodic solutions to certain integrable partial differential equations are given in terms of multi-dimensional theta functions associated to real Riemann sur…