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The Resource Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999, (electronic resource)
Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999, (electronic resource)
Resource Information
The item Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 XI, 279 p.
 Contents

 Exact Solutions of Nonlinear Partial Differential Equations by Singularity Analysis
 The Method of Poisson Pairs in the Theory of Nonlinear PDEs
 Nonlinear Superposition Formulae of Integrable Partial Differential Equations by the Singular Manifold Method
 Hirota Bilinear Method for Nonlinear Evolution Equations
 Lie Groups, Singularities and Solutions of Nonlinear Partial Differential Equations
 Isbn
 9783540398080
 Label
 Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999
 Title
 Direct and Inverse Methods in Nonlinear Evolution Equations
 Title remainder
 Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999
 Subject

 Global differential geometry
 Mathematical physics
 Global differential geometry
 Global differential geometry
 Statistical Physics, Dynamical Systems and Complexity
 Electronic resources
 Differential Geometry
 Partial Differential Equations
 Physics
 Physics
 Mathematical physics
 Mathematical physics
 Mathematical Methods in Physics
 Differential equations, partial
 Physics
 Differential equations, partial
 Differential equations, partial
 Language
 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
 Image bit depth
 0
 LC call number
 QC5.53
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Physics,
 Series volume
 632
 http://library.link/vocab/subjectName

 Physics
 Differential equations, partial
 Global differential geometry
 Mathematical physics
 Physics
 Mathematical Methods in Physics
 Partial Differential Equations
 Differential Geometry
 Statistical Physics, Dynamical Systems and Complexity
 Label
 Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Exact Solutions of Nonlinear Partial Differential Equations by Singularity Analysis  The Method of Poisson Pairs in the Theory of Nonlinear PDEs  Nonlinear Superposition Formulae of Integrable Partial Differential Equations by the Singular Manifold Method  Hirota Bilinear Method for Nonlinear Evolution Equations  Lie Groups, Singularities and Solutions of Nonlinear Partial Differential Equations
 Dimensions
 unknown
 Extent
 XI, 279 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540398080
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/b13714
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540398080
 Label
 Direct and Inverse Methods in Nonlinear Evolution Equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 512, 1999, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Exact Solutions of Nonlinear Partial Differential Equations by Singularity Analysis  The Method of Poisson Pairs in the Theory of Nonlinear PDEs  Nonlinear Superposition Formulae of Integrable Partial Differential Equations by the Singular Manifold Method  Hirota Bilinear Method for Nonlinear Evolution Equations  Lie Groups, Singularities and Solutions of Nonlinear Partial Differential Equations
 Dimensions
 unknown
 Extent
 XI, 279 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540398080
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/b13714
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540398080
Subject
 Differential Geometry
 Differential equations, partial
 Differential equations, partial
 Differential equations, partial
 Electronic resources
 Global differential geometry
 Global differential geometry
 Global differential geometry
 Mathematical Methods in Physics
 Mathematical physics
 Mathematical physics
 Mathematical physics
 Partial Differential Equations
 Physics
 Physics
 Physics
 Statistical Physics, Dynamical Systems and Complexity
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