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Item Details
Title: SYMMETRY AND PERTURBATION THEORY
SPT98 ROME, ITALY, 16-22 DECEMBER 1998
By: A. Degasperis (Editor), Guiseppe Gaeta (Editor)
Format: Hardback

List price: £102.00


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ISBN 10: 9810241666
ISBN 13: 9789810241667
Publisher: WORLD SCIENTIFIC PUBLISHING CO PTE LTD
Pub. date: 10 February, 2000
Pages: 330
Description: The second workshop on Symmetry and Perturbation Theory served as a forum for discussing the relations between symmetry and perturbation theory. This volume contains tutorial, regular and contributed papers and covers some active themes of research and recent results.
Synopsis: The second workshop on Symmetry and Perturbation Theory served as a forum for discussing the relations between symmetry and perturbation theory, and this put in contact rather different communities. The extension of the rigorous results of perturbation theory established for ODEs to the case of nonlinear evolution PDEs was also discussed: here a number of results are known, particularly in connection with (perturbation of) integrable systems, but there is no general frame as solidly established as in the finite-dimensional case. In aiming at such an infinite-dimensional extension, for which standard analytical tools essential in the ODE case are not available, it is natural to look primarily at geometrical and topological methods, and first of all at those based on exploiting the symmetry properties of the systems under study (both the unperturbed and the perturbed ones); moreover, symmetry considerations are in several ways basic to our understanding of integrability (in other words, finally of the unperturbed systems on whose understanding the whole of perturbation theory has unavoidably to rely). This volume contains tutorial, regular and contributed papers.The tutorial papers give students and newcomers to the field a rapid introduction to some active themes of research and recent results in symmetry and perturbation theory.
Illustrations: Illustrations
Publication: Singapore
Imprint: World Scientific Publishing Co Pte Ltd
Returns: Returnable
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