Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach

Details Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach

1999-04-16

arxiv.org/abs/solv-int/9904016v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

31 pages, no figures

Scientific paper

We consider complementary dynamical systems related to stationary Korteweg-de Vries hierarchy of equations. A general approach for finding elliptic solutions is given. The solutions are expressed in terms of Novikov polynomials in general quais-periodic case. For periodic case these polynomials coincide with Hermite and Lam\'e polynomials. As byproduct we derive $2\times 2$ matrix Lax representation for Rosochatius-Wojciechiwski, Rosochatius, second flow of stationary nonlinear vectro Schr\"{o}dinger equations and complex Neumann system.

Affiliated with

Also associated with

No associations

Rating

Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach 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 Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309798