-wave equations with orthogonal algebras: and reductions and soliton solutions.
New exact solutions for the -dimensional Broer-Kaup-Kupershmidt equations.
Nilpotent and recursive flows.
Noncommutative root space Witt, Ricci flow, and Poisson bracket continual Lie algebras.
Notes on symplectic non-squeezing of the KdV flow
We prove two finite dimensional approximation results and a symplectic non-squeezing property for the Korteweg-de Vries (KdV) flow on the circle . The nonsqueezing result relies on the aforementioned approximations and the finite-dimensional nonsqueezing theorem of Gromov [14]. Unlike the work of Kuksin [22] which initiated the investigation of non-squeezing results for infinite dimensional Hamiltonian systems, the nonsqueezing argument here does not construct a capacity directly. In this way our...