$R$-matrices and Hamiltonian Structures for Certain Lax Equations

Details $R$-matrices and Hamiltonian Structures for Certain Lax Equations $R$-matrices and Hamiltonian Structures for Certain Lax Equations

2010-12-23

arxiv.org/abs/1012.5245v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

In this paper $R$-matrices on a certain class of coupled Lie algebras are obtained. With one of these $R$-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hierarchy and the Toda lattice hierarchy. We also show that, when the above two hierarchies are reduced to their subhierarchies, these bi-Hamiltonian structures are reduced correspondingly.

Affiliated with

Also associated with

No associations

Rating

$R$-matrices and Hamiltonian Structures for Certain Lax Equations 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 $R$-matrices and Hamiltonian Structures for Certain Lax Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $R$-matrices and Hamiltonian Structures for Certain Lax Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296959