E. Hamiltonian Systems
-
Finite-gap periodic solutions of the KdV equation are non-degenerate, with A.Bobenko
(Phys. LettA A 161 (1991), 274-276)
-
An infinitesimal Liouville--Arnold theorem as criterion
of reducibility for variational Hamiltonian equations
(Chaos, Solitons and Fractals 2 (1992), 259-269)
- On the
inclusion of an analytic symplectomorphism, close to an integrable one,
into a Hamiltonian flow (Russian J. Math. Physics 1
(1993), 165--183)
- On
the inclusion of analytic symplectic maps in analytic Hamiltonian flows
and its applications, with J. Poschel (in book "Seminar
on Dynamical Systems" (1994), 96-116)
-
Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDEs
(CMP 167 (1995), 531-552)
-
Hamiltonian PDEs (in "Handbook on Dynamical Systems v. 1B (2006)
1087-1134)
-
2D Euler equation as a Hamiltonian PDE
(Manuscript, 2008)
-
Vey theorem in infinite dimensions and its application to KdV, with G. Perelman
(DCDS-A 27 (2010) 1-24)
-
KdV equation under periodic boundary conditions
and its perturbations,
with H.Guan
(Preprint, arXiv:1309.1597 (2013)
)
-
KdV hamiltonian as a function of actions, with E. Korotyaev
(J. Dyn. Control Syst. 128:3
(2015))