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Nearly Integrable Infinite-Dimensional Hamiltonian Systems

Nearly Integrable Infinite-Dimensional Hamiltonian Systems (Paperback)

£22.99
Printed to order. Despatched in 2-3 weeks.
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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.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsMathematicsTopologyAnalytic topology Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 03/11/1993 ISBN-13: 9783540571612  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

More books by Sergej B. Kuksin

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