An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy

Details An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy

1997-07-14

arxiv.org/abs/solv-int/9707009v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, submitted to Reviews in Mathematical Physics

Scientific paper

10.1142/S0129055X98000112

We develop an alternative systematic approach to the AKNS hierarchy based on elementary algebraic methods. In particular, we recursively construct Lax pairs for the entire AKNS hierarchy by introducing a fundamental polynomial formalism and establish the basic algebro-geometric setting including associated Burchnall-Chaundy curves, Baker-Akhiezer functions, trace formulas, Dubrovin-type equations for analogs of Dirichlet and Neumann divisors, and theta function representations for algebro-geometric solutions.

Affiliated with

Also associated with

No associations

Rating

An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy 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 An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-154441