Holod P. Orbit method in the theory of nonlinear integrable Hamiltonian systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0510U000202

Thesis Registration Form

0510U000202.pdf

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

11-03-2010

Specialized Academic Board

Д 26.191.01

Bogolybov Institute for Theoretical Physics of NASU

Essay

This thesis is devoted to development of a new method for analуsis and explicit integration of nonlinear model equations (in 1+1 dimensions) arising in field theory and condensed matter physics. The main idea of the method is to interpret a phase space of a system in question as an orbit (uniform space) of coadjoint representation of system's hidden symmetry group. Peculiarity of author's approach in comparison with other authors is in recognized orbit structure of infinite-dimensional submanifolds which are invariant under global Hamiltonian flow defined by initial nonlinear equation.

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Files

Holod_P_I.pdf

aref_Holod.pdf

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