Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem

Details Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem

2006-03-15

arxiv.org/abs/nlin/0603033v1

Eur. Phys. J. B 58, 311-317 (2007)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, LaTeX

Scientific paper

10.1140/epjb/e2007-00224-2

The hierarchy of the integrable nonlinear equations associated with the quadratic bundle is considered. The expressions for the solution of the linearization of these equations and their conservation law in the terms of the solutions of the corresponding Lax pairs are found. It is shown for the first member of the hierarchy that the conservation law is connected with the solution of the linearized equation due to the Noether's theorem. The local hierarchy and three nonlocal ones of the infinitesimal symmetries and the conservation laws that are explicitly expressed through the variables of the nonlinear equations are derived.

Affiliated with

Also associated with

No associations

Rating

Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem 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 Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728974