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The Legacy of the Inverse Scattering Transform in Applied Mathematics: Proceedings of an Ams-Ims-Siam Joint Summer Research Conference on the Legacy ... Propagation, Mount (Contemporary Mathematics) - Hardcover
Inhaltsangabe
Swift progress and new applications characterize the area of solitons and the inverse scattering transform. There are rapid developments in current nonlinear optical technology: Larger intensities are more available; pulse widths are smaller; relaxation times and damping rates are less significant. In keeping with these advancements, exactly integrable soliton equations, such as $3$-wave resonant interactions and second harmonic generation, are becoming more and more relevant in experimental applications. Techniques are now being developed for using these interactions to frequency convert high intensity sources into frequency regimes where there are no lasers. Other experiments involve using these interactions to develop intense variable frequency sources, opening up even more possibilities. This volume contains new developments and state-of-the-art research arising from the conference on the ""Legacy of the Inverse Scattering Transform"" held at Mount Holyoke College (South Hadley, MA). Unique to this volume is the opening section, ""Reviews"". This part of the book provides reviews of major research results in the inverse scattering transform (IST), on the application of IST to classical problems in differential geometry, on algebraic and analytic aspects of soliton-type equations, on a new method for studying boundary value problems for integrable partial differential equations (PDEs) in two dimensions, on chaos in PDEs, on advances in multi-soliton complexes, and on a unified approach to integrable systems via Painleve analysis. This conference provided a forum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering.
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Swift progress and new applications characterize the area of solitons and the inverse scattering transform. There are rapid developments in current nonlinear optical technology: Larger intensities are more available; pulse widths are smaller; relaxation times and damping rates are less significant. In keeping with these advancements, exactly integrable soliton equations, such as $3$-wave resonant interactions and second harmonic generation, are becoming more and more relevant in experimental applications. Techniques are now being developed for using these interactions to frequency convert high intensity sources into frequency regimes where there are no lasers. Other experiments involve using these interactions to develop intense variable frequency sources, opening up even more possibilities. This volume contains new developments and state-of-the-art research arising from the conference on the ``Legacy of the Inverse Scattering Transform'' held at Mount Holyoke College (South Hadley, MA). Unique to this volume is the opening section, ``Reviews''. This part of the book provides reviews of major research results in the inverse scattering transform (IST), on the application of IST to classical problems in differential geometry, on algebraic and analytic aspects of soliton-type equations, on a new method for studying boundary value problems for integrable partial differential equations (PDEs) in two dimensions, on chaos in PDEs, on advances in multi-soliton complexes, and on a unified approach to integrable systems via Painleve analysis. This conference provided a forum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering.
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The Legacy of the Inverse Scattering Transform in Applied Mathematics: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation June 17-21, 2001 Mount Holyoke College, South Hadley, Ma [Contemporary Mathematics 301]
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American Mathematical Society, Providence, R.I., 2002
ISBN 10: 0821831615
ISBN 13: 9780821831618
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The Legacy of the Inverse Scattering Transform in Applied Mathematics: Proceedings of an Ams-Ims-Siam Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, Mount
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American Mathematical Society, 2002
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ISBN 13: 9780821831618
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Zustand: New. Contains various developments and research arising from the conference on the 'Legacy of the Inverse Scattering Transform' held at Mount Holyoke College (South Hadley, MA). This book reviews major research results in the inverse scattering transform (IST) and on the application of IST to classical problems in differential geometry. Series: Contemporary Mathematics. Num Pages: 338 pages, Illustrations. BIC Classification: PBKJ; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 17. Weight in Grams: 595. . 2002. hardcover. . . . . Bestandsnummer des Verkäufers V9780821831618
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The Legacy of the Inverse Scattering Transform in Applied Mathematics
Verlag:
American Mathematical Society, 2002
ISBN 10: 0821831615
ISBN 13: 9780821831618
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Einband - flex.(Paperback). Zustand: New. Contains various developments and research arising from the conference on the Legacy of the Inverse Scattering Transform held at Mount Holyoke College (South Hadley, MA). This book reviews major research results in the inverse scattering transform (IST) a. Bestandsnummer des Verkäufers 2146029008
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The Legacy of the Inverse Scattering Transform in Applied Mathematics
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ISBN 13: 9780821831618
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The Legacy of the Inverse Scattering Transform in Applied Mathematics: Proceedings of an Ams-Ims-Siam Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, Mount
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The Legacy of the Inverse Scattering Transform in Applied Mathematics: Proceedings of an Ams-Ims-Siam Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, Mount
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American Mathematical Society, 2002
ISBN 10: 0821831615
ISBN 13: 9780821831618
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Zustand: New. Contains various developments and research arising from the conference on the 'Legacy of the Inverse Scattering Transform' held at Mount Holyoke College (South Hadley, MA). This book reviews major research results in the inverse scattering transform (IST) and on the application of IST to classical problems in differential geometry. Series: Contemporary Mathematics. Num Pages: 338 pages, Illustrations. BIC Classification: PBKJ; PBW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 17. Weight in Grams: 595. . 2002. hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821831618
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Legacy of the Inverse Scattering Transform in Applied Mathematics : Proceedings of an Ams-Ims-Siam Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, Mount
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The Legacy of the Inverse Scattering Transform in Applied Mathematics
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American Mathematical Society, 2002
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ISBN 13: 9780821831618
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