English

The constrained modified KP hierarchy and the generalized Miura transformations

solv-int 2009-10-30 v1 Exactly Solvable and Integrable Systems

Abstract

In this letter, we consider the second Hamiltonian structure of the constrained modified KP hierarchy. After mapping the Lax operator to a pure differential operator the second structure becomes the sum of the second and the third Gelfand-Dickey brackets defined by this differential operator. We simplify this Hamiltonian structure by factorizing the Lax operator into linear terms.

Keywords

Cite

@article{arxiv.solv-int/9707014,
  title  = {The constrained modified KP hierarchy and the generalized Miura transformations},
  author = {Jiin-Chang Shaw and Ming-Hsien Tu},
  journal= {arXiv preprint arXiv:solv-int/9707014},
  year   = {2009}
}

Comments

8 pages, latex, no figures

R2 v1 2026-07-22T20:08:22.489Z