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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 (Hardcover, 2003 ed.) Loot Price: R3,197
Discovery Miles 31 970
Direct and Inverse Methods in Nonlinear Evolution Equations - Lectures Given at the C.I.M.E. Summer School Held in Cetraro,...

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 (Hardcover, 2003 ed.)

Robert M. Conte; Edited by Antonio Maria Greco; Franco Magri, Micheline Musette, Junkichi Satsuma, Pavel Winternitz

Series: Lecture Notes in Physics, 632

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Loot Price R3,197 Discovery Miles 31 970 | Repayment Terms: R300 pm x 12*

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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."

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Physics, 632
Release date: October 2003
First published: 2003
Authors: Robert M. Conte
Editors: Antonio Maria Greco
Authors: Franco Magri • Micheline Musette • Junkichi Satsuma • Pavel Winternitz
Dimensions: 235 x 155 x 17mm (L x W x T)
Format: Hardcover
Pages: 279
Edition: 2003 ed.
ISBN-13: 978-3-540-20087-1
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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LSN: 3-540-20087-8
Barcode: 9783540200871

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