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Item Details
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DIRECT AND INVERSE METHODS IN NONLINEAR EVOLUTION EQUATIONS
LECTURES GIVEN AT THE C.I.M.E. SUMMER SCHOOL HELD IN CETRARO, ITALY, SEPTEMBER 5-12, 1999 |
| By: |
Robert Conte, Franco Magri, Micheline Musette |
| Format: |
Hardback |
| List price:
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£99.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540200878 |
| ISBN 13: |
9783540200871 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
21 October, 2003 |
| Series: |
Lecture Notes in Physics v. 632 |
| Pages: |
279 |
| Synopsis: |
Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities a la Painleve, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved. |
| Illustrations: |
1 colour illustrations, biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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