Lucas polynomials and a standard Lax representation for the polytropic gas dynamics

Details Lucas polynomials and a standard Lax representation for the polytropic gas dynamics Lucas polynomials and a standard Lax representation for the polytropic gas dynamics

2001-10-10

arxiv.org/abs/hep-th/0110097v1

Lett.Math.Phys.60:197-209,2002

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTex

Scientific paper

10.1023/A:1016262206639

A standard Lax representation for the polytropic gas dynamics is derived by exploiting various properties of the Lucas and Fibonacci polynomials. The two infinite sets of conserved charges are derived from this representation and shown to coincide with the ones derived from the known non-standard representation. The same Lax function is shown to also give the standard Lax description for the elastic medium equations. In addition, some results on possible dispersive extensions of such models are presented.

Affiliated with

Also associated with

No associations

Rating

Lucas polynomials and a standard Lax representation for the polytropic gas dynamics 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 Lucas polynomials and a standard Lax representation for the polytropic gas dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lucas polynomials and a standard Lax representation for the polytropic gas dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712347