Multiscale expansion of the lattice potential KdV equation on functions of infinite slow-varyness order

Details Multiscale expansion of the lattice potential KdV equation on functions of infinite slow-varyness order Multiscale expansion of the lattice potential KdV equation on functions of infinite slow-varyness order

2007-06-07

arxiv.org/abs/0706.1046v1

Physics

Mathematical Physics

9 pages, submitted to Journ. Phys. A

Scientific paper

We present a discrete multiscale expansion of the lattice potential Korteweg-de Vries (lpKdV) equation on functions of infinite order of slow-varyness. To do so we introduce a formal expansion of the shift operator on many lattices holding at all orders. The lowest secularity condition from the expansion of the lpKdV equation gives a nonlinear lattice equation, depending on shifts of all orders, of the form of the nonlinear Schr\"odinger (NLS) equation

Affiliated with

Also associated with

No associations

Rating

Multiscale expansion of the lattice potential KdV equation on functions of infinite slow-varyness order 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 of the lattice potential KdV equation on functions of infinite slow-varyness order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiscale expansion of the lattice potential KdV equation on functions of infinite slow-varyness order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442393