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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
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…
math-ph2011
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…