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The Resource Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource)
Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource)
Resource Information
The item Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localized pulselike nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation. For such exactly solvable problems, the inverse scattering transform provides the general solution of their initial value problems. It is equally surprising that some of these exactly solvable problems arise naturally as models of physical phenomena. Simply put, the inverse scattering transform is a nonlinear analog of the Fourier transform used for linear problems. Its value lies in the fact that it allows certain nonlinear problems to be treated by what are essentially linear methods. Chapters 1 and 2 of the book describe in detail the theory of the inverse scattering transform. Chapter 3 discusses alternate methods for these exactly solvable problems and the interconnections among them. Physical applications are described in Chapter 4, where, for example, similarities between deep water waves and nonlinear optics become evident. Because of the fundamental role of linear theory, there is an extensive appendix that addresses the linear problems and their solutions
 Language
 eng
 Extent
 1 electronic text (x, 425 p., [2] p. of plates)
 Contents

 Chapter 1: The inverse scattering transform on the infinite interval
 Chapter 2: IST in other settings
 Chapter 3: Other perspectives
 Chapter 4: Applications
 Isbn
 9781611970883
 Label
 Solitons and the inverse scattering transform
 Title
 Solitons and the inverse scattering transform
 Statement of responsibility
 Mark J. Ablowitz and Harvey Segur
 Language
 eng
 Summary
 A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localized pulselike nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation. For such exactly solvable problems, the inverse scattering transform provides the general solution of their initial value problems. It is equally surprising that some of these exactly solvable problems arise naturally as models of physical phenomena. Simply put, the inverse scattering transform is a nonlinear analog of the Fourier transform used for linear problems. Its value lies in the fact that it allows certain nonlinear problems to be treated by what are essentially linear methods. Chapters 1 and 2 of the book describe in detail the theory of the inverse scattering transform. Chapter 3 discusses alternate methods for these exactly solvable problems and the interconnections among them. Physical applications are described in Chapter 4, where, for example, similarities between deep water waves and nonlinear optics become evident. Because of the fundamental role of linear theory, there is an extensive appendix that addresses the linear problems and their solutions
 Additional physical form
 Also available in print version.
 Cataloging source
 CaBNVSL
 http://library.link/vocab/creatorName
 Ablowitz, Mark J
 Dewey number
 515.3/5
 Illustrations

 illustrations
 plates
 Index
 index present
 LC call number
 QA927
 LC item number
 .A34 1981eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Segur, Harvey
 Society for Industrial and Applied Mathematics
 Series statement
 SIAM studies in applied mathematics
 Series volume
 4
 http://library.link/vocab/subjectName

 Solitons
 Inverse scattering transform
 Target audience
 adult
 Label
 Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource)
 Bibliography note
 Includes bibliographical references (p. 393414) and indexes
 Color
 black and white
 Contents
 Chapter 1: The inverse scattering transform on the infinite interval  Chapter 2: IST in other settings  Chapter 3: Other perspectives  Chapter 4: Applications
 Dimensions
 unknown
 Extent
 1 electronic text (x, 425 p., [2] p. of plates)
 File format
 multiple file formats
 Form of item
 online
 Governing access note
 Restricted to subscribers or individual electronic text purchasers
 Isbn
 9781611970883
 Isbn Type
 (electronic bk.)
 Other physical details
 ill. (some col.), digital file.
 Publisher number
 AM04
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 386239101okla_normanlaw
 (SIRSI)3862391
 (Sirsi) i9781611970883
 (CaBNVSL)gtp00547217
 System details

 Mode of access: World Wide Web
 System requirements: Adobe Acrobat Reader
 Label
 Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource)
 Bibliography note
 Includes bibliographical references (p. 393414) and indexes
 Color
 black and white
 Contents
 Chapter 1: The inverse scattering transform on the infinite interval  Chapter 2: IST in other settings  Chapter 3: Other perspectives  Chapter 4: Applications
 Dimensions
 unknown
 Extent
 1 electronic text (x, 425 p., [2] p. of plates)
 File format
 multiple file formats
 Form of item
 online
 Governing access note
 Restricted to subscribers or individual electronic text purchasers
 Isbn
 9781611970883
 Isbn Type
 (electronic bk.)
 Other physical details
 ill. (some col.), digital file.
 Publisher number
 AM04
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 386239101okla_normanlaw
 (SIRSI)3862391
 (Sirsi) i9781611970883
 (CaBNVSL)gtp00547217
 System details

 Mode of access: World Wide Web
 System requirements: Adobe Acrobat Reader
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/Solitonsandtheinversescatteringtransform/H_K5efGBdsk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/Solitonsandtheinversescatteringtransform/H_K5efGBdsk/">Solitons and the inverse scattering transform, Mark J. Ablowitz and Harvey Segur, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>