Multiscale expansion on the lattice and integrability of partial difference equations

Details Multiscale expansion on the lattice and integrability of partial difference equations Multiscale expansion on the lattice and integrability of partial difference equations

2007-10-28

arxiv.org/abs/0710.5299v2

Physics

Mathematical Physics

12 pages

Scientific paper

We conjecture an integrability and linearizability test for dispersive Z^2-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 Schrodinger (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 Schrodinger 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.

Affiliated with

Also associated with

No associations

Rating

Multiscale expansion on the lattice and integrability of partial difference equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiscale expansion on the lattice and integrability of partial difference equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiscale expansion on the lattice and integrability of partial difference equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237183