On the dbar-dressing method applicable to heavenly equation

Details On the dbar-dressing method applicable to heavenly equation On the dbar-dressing method applicable to heavenly equation

2005-04-29

arxiv.org/abs/nlin/0504062v1

PHYSICS LETTERS A 345 (1-3): 137-143 SEP 26 2005

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

10.1016/j.physleta.2005.07.002

The $\dbar$-dressing scheme based on local nonlinear vector $\dbar$-problem is developed. It is applicable to multidimensional nonlinear equations for vector fields, and, after Hamiltonian reduction, to heavenly equation. Hamiltonian reduction is described explicitely in terms of the $\dbar$-data. An analogue of Hirota bilinear identity for heavenly equation hierarchy is introduced, $\tau$-function for the hierarchy is defined. Addition formulae (generating equations) for the $\tau$-function are found. It is demonstrated that $\tau$-function for heavenly equation hierarchy is given by the action for $\dbar$-problem evaluated on the solution of this problem.

Affiliated with

Also associated with

No associations

Rating

On the dbar-dressing method applicable to heavenly equation 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 On the dbar-dressing method applicable to heavenly equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the dbar-dressing method applicable to heavenly equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402385