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math.DS2009
Hamiltonian and small action variables for periodic dNLS
Evgeny L. Korotyaev
We consider the defocussing NLS equation with small periodic initial condition. A new approach to study the Hamiltonian as a function of action variables is demonstrated. The probl…
math.DS2009
Estimates for solutions of KDV on the phase space of periodic distributions in terms of action variables
Evgeny L. Korotyaev
We consider the KdV equation on the Sobolev space of periodic distributions. We obtain estimates of the solution of the KdV in terms of action variables.