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: 632 (Lecture Notes in Physics, 632) - Hardcover
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 à la Painlevé, 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.
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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
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ISBN 13: 9783540200871
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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 (Lecture Notes in Physics, 632)
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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 (Lecture Notes in Physics, 632)
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Direct and Inverse Methods in Nonlinear Evolution Equations.
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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 (Lecture Notes in Physics, 632)
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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 (Lecture Notes in Physics, 632)
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Direct and Inverse Methods in Nonlinear Evolution Equations
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ISBN 10: 3540200878
ISBN 13: 9783540200871
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 à la Painlevé, 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. 292 pp. Englisch. Seller Inventory # 9783540200871
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Direct and Inverse Methods in Nonlinear Evolution Equations
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 integra. Seller Inventory # 4884457
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Direct and Inverse Methods in Nonlinear Evolution Equations
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Direct and Inverse Methods in Nonlinear Evolution Equations
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ISBN 10: 3540200878
ISBN 13: 9783540200871
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Condition: New. Editor(s): Greco, Antonio Maria. Series: Lecture Notes in Physics. Num Pages: 290 pages, 1 colour illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 592. . 2003. Hardback. . . . . Seller Inventory # V9783540200871