Bi-Hamiltonian representation, symmetries and integrals of mixed heavenly and Husain systems

Details Bi-Hamiltonian representation, symmetries and integrals of mixed heavenly and Husain systems Bi-Hamiltonian representation, symmetries and integrals of mixed heavenly and Husain systems

2009-04-27

arxiv.org/abs/0904.3981v4

Physics

Mathematical Physics

LaTeX2e source, 43 pages, 23 references, title modified, errors corrected, study of recursions of symmetries and integrals add

Scientific paper

In the recent paper by one of the authors (MBS) and A. A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries (J. Phys. A: Math. Theor. Vol. 42 (2009) 395202 (20pp)), mixed heavenly equation and Husain equation appear as closely related canonical equations admitting partner symmetries. Here for the mixed heavenly equation and Husain equation, formulated in a two-component form, we present recursion operators, Lax pairs of Olver-Ibragimov-Shabat type and discover their Lagrangians, symplectic and bi-Hamiltonian structure. We obtain all point and second-order symmetries, integrals and bi-Hamiltonian representations of these systems and their symmetry flows together with infinite hierarchies of nonlocal higher symmetries.

Affiliated with

Also associated with

No associations

Rating

Bi-Hamiltonian representation, symmetries and integrals of mixed heavenly and Husain systems 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 Bi-Hamiltonian representation, symmetries and integrals of mixed heavenly and Husain systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bi-Hamiltonian representation, symmetries and integrals of mixed heavenly and Husain systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321971