Titlebook: Applications of Lie Groups to Differential Equations; Peter J. Olver Textbook 19861st edition Springer-Verlag New York Inc. 1986 Applicati

细胞

Generalized Symmetries,it appears that the possession of an infinite number of such symmetries is a characterizing property of “solvable” equations, such as the Korteweg-de Vries equation, which have “soliton” solutions or can be linearized either directly or via inverse scattering.

Brocas-Area

乐器演奏者

https://doi.org/10.1007/978-3-663-16016-8equations for which the Lagrangian viewpoint, even if applicable, no longer is appropriate or natural to the problem. In this case, the Hamiltonian formulation of systems of evolution equations assumes the natural variational role for the system.

Vertical

0072-5285 ial equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie gr

预感

Finite-Dimensional Hamiltonian Systems, of this vast subject, namely the interplay between symmetry groups, conservation laws and reduction in order for systems in Hamiltonian form. The Hamiltonian version of Noether’s theorem has a particularly attractive geometrical flavour, which remains somewhat masked in our previous Lagrangian framework.

NOT

Hamiltonian Methods for Evolution Equations,equations for which the Lagrangian viewpoint, even if applicable, no longer is appropriate or natural to the problem. In this case, the Hamiltonian formulation of systems of evolution equations assumes the natural variational role for the system.

最有利

懒惰人民

Aspiration

https://doi.org/10.1007/978-1-4684-0274-2Applications; Equations; Groups; Lie; group theory

曲解

Springer-Verlag New York Inc. 1986