The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups | Zendy

Anahita Eslami Rad | Zendy; Enríque G. Reyes | Zendy

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The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups

Author(s) -

Anahita Eslami Rad,

Enríque G. Reyes

Publication year - 2013

Publication title -

the journal of geometric mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.511

H-Index - 17

eISSN - 1941-4897

pISSN - 1941-4889

DOI - 10.3934/jgm.2013.5.345

Subject(s) - hierarchy , factorization , mathematics , mathematical proof , algebra over a field , pure mathematics , lie group , lie theory , hamiltonian system , mathematical analysis , adjoint representation of a lie algebra , lie conformal algebra , algorithm , geometry , economics , market economy

We present explicit formal solutions to the systems of equations in two independent variables tm, x, m = 1, 2, of the Kadomtsev- Petviashvili hierarchy. The main tools used are a Birkhoff-like factorization of formal Lie groups due to M. Mulase, and the classical theory of A.G. Reyman and M.A. Semenov-Tian-Shansky on the integration of Hamiltonian systems on coadjoint orbits using r-matrices. Our paper also contains full proofs of Mulase's results. © American Institute of Mathematical Sciences.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

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