SEMINARIO DE FISICA TEORICA I Y II

Titulo:         Multiscale expansion on the lattice and integrability of partial difference equations
Conferenciante: Prof. Decio Levi (Univ. Roma)
Dia y hora:     20, 14:15 (Aula 8B)

Resumen:

We conjecture an integrability and linearizability
test for dispersive Z2-lattice equations by using a discrete
multiscale analysis. The lowest order secularity conditions from the
multiscale expansion give a partial differential equation of the form
of the nonlinear Schroedinger (NLS) equation. If the starting lattice
equation is integrable then the resulting NLS equation turns out to be
integrable, while if the starting equation is linearizable we get a
linear Schroedinger equation. On the other hand, if we start with a
non-integrable lattice equation we may obtain a non-integrable NLS
equation. This conjecture is confirmed by many examples.