Pinaki Patra

Co-adjoint orbit for Some New Nonlinear Equations

The formalism of Adler-Kostant-Symes is used along with some new Lie algebras to generate some new
integrable nonlinear equations, where the usual space and time variables are interchanged.
Their recursion operator and Bi-Hamiltonian structure are deduced. In the next part, an
extension of the same Lie Algebra is utilized to construct an integrable coupling of this set
with another. Incidentally, this new system also turns out to be Bi-Hamiltonian.

Event sponsored by:
University of Bialystok