34 citations · 75 across the 3 of their papers we have counts for
4 papers · 1 filter
Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
Iryna Egorova, Johanna Michor, Gerald Teschl
We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap…
Long-Time Asymptotics for the Camassa-Holm Equation
Anne Boutet de Monvel, Aleksey Kostenko, Dmitry Shepelsky +1
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa-Holm equation for decaying initial data, completing previous results by A. Bou…
Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
Fritz Gesztesy, Helge Holden, Johanna Michor +1
We derive a systematic and recursive approach to local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik (AL) hierarchy. Our methods rely on a recursive approa…
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…