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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The work 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 represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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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
Resource Information
The work 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 represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 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
 Title remainder
 Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5–12, 1999
 Statement of responsibility
 by Robert M. Conte, Franco Magri, Micheline Musette, Junkichi Satsuma, Pavel Winternitz ; edited by Antonio Maria Greco
 Language

 eng
 eng
 Summary
 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 bihamiltonian 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
 Dewey number
 530.15/5353
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 Image bit depth
 0
 Language note
 English
 LC call number
 QC5.53
 Literary form
 non fiction
 Series statement
 Lecture Notes in Physics,
 Series volume
 632
Context
Context of 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, 1999Work of
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