Mathematical methods in the mechanics of infinite-dimensional nonpotential systems. (Matematicheskie metody mekhaniki beskonechnomernykh nepotentsial’nykh sistem.) (Russian) Zbl 0925.70160

Savchin, V. M.

Moskva: Universitet Druzhby Narodov. 236 p. (1991).

MSC:

70H05	Hamilton’s equations
70-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems
37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
35Q53	KdV equations (Korteweg-de Vries equations)
49S05	Variational principles of physics
37J35	Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10	Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
70G99	General models, approaches, and methods in mechanics of particles and systems

Keywords:

evolution equations; Hamiltonian systems; first integrals; variational methods; Korteweg-de Vries equation; Burgers equation