Darboux Covariant Equations of von Neumann Type and their Generalizations

Details Darboux Covariant Equations of von Neumann Type and their Generalizations Darboux Covariant Equations of von Neumann Type and their Generalizations

2002-05-28

arxiv.org/abs/nlin/0205061v2

J. Math. Phys. 44, 1763 (2003)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages, LaTeX, revised version

Scientific paper

10.1063/1.1554762

Lax pairs with operator valued coefficients, which are explicitly connected by means of an additional condition, are considered. This condition is proved to be covariant with respect to the Darboux transformation of a general form. Nonlinear equations arising from the compatibility condition of the Lax pairs in the matrix case include, in particular, Nahm equations, Volterra, Bogoyavlenskii and Toda lattices. The examples of another one-, two- and multi-field lattice equations are also presented.

Affiliated with

Also associated with

No associations

Rating

Darboux Covariant Equations of von Neumann Type and their Generalizations 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 Darboux Covariant Equations of von Neumann Type and their Generalizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Darboux Covariant Equations of von Neumann Type and their Generalizations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560619