35 citations · 79 across the 7 of their papers we have counts for
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nlin.SI2017
Rarefaction Waves for the Toda Equation via Nonlinear Steepest Descent
Iryna Egorova, Johanna Michor, Gerald Teschl
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice with steplike initial data corresponding to a rarefaction wave.
nlin.SI2007★ 6 cited
On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
Johanna Michor, Gerald Teschl
We give a simple algebraic proof that the two different Lax pairs for the Kac-van Moerbeke hierarchy, constructed from Jacobi respectively super-symmetric Dirac-type difference ope…
nlin.SI2006★ 26 cited
Soliton Solutions of the Toda Hierarchy on Quasi-Periodic Backgrounds Revisited
Iryna Egorova, Johanna Michor, Gerald Teschl
We investigate soliton solutions of the Toda hierarchy on a quasi-periodic finite-gap background by means of the double commutation method and the inverse scattering transform. In…