Nearly Integrable Infinite-Dimensional Hamiltonian Systems: 1556 (Lecture Notes in Mathematics, 1556) - Softcover

Kuksin, Sergej B.

 
9783540571612: Nearly Integrable Infinite-Dimensional Hamiltonian Systems: 1556 (Lecture Notes in Mathematics, 1556)
Softcover
ISBN 10: 3540571612 ISBN 13: 9783540571612
Publisher: Springer, 1993

Synopsis

The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr|dinger equation andshow that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE's. An extensivesummary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the firstpart of the book and in five appendices.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1993
Language
English
ISBN 10 
3540571612
ISBN 13 
9783540571612
Binding
Paperback
Number of pages
132

Other Popular Editions of the Same Title

9780387571614: Nearly Integrable Infinite-Dimensional Hamiltonian Systems (Lecture Notes in Mathematics)

Featured Edition

ISBN 10:  0387571612 ISBN 13:  9780387571614
Publisher: Springer Verlag, 1993
Softcover