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Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154)
Spyridon Kamvissis
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Description for Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154)
Paperback. Represents the asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime. This book exploits complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime. Series: Annals of Mathematics Studies. Num Pages: 312 pages, 50 line illus. BIC Classification: PBK; PHQ. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 18. Weight in Grams: 457.
This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing the semiclassical behavior. In doing so they also aim to explain the observed gradient catastrophe for the underlying nonlinear elliptic partial differential equations, ... Read more
This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing the semiclassical behavior. In doing so they also aim to explain the observed gradient catastrophe for the underlying nonlinear elliptic partial differential equations, ... Read more
Product Details
Format
Paperback
Publication date
2003
Publisher
Princeton University Press United States
Number of pages
288
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
312
Place of Publication
New Jersey, United States
ISBN
9780691114828
SKU
V9780691114828
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Spyridon Kamvissis
Spyridon Kamvissis is a researcher at the Max Planck Institute of Mathematics in Bonn, Germany, and a Professor of Mathematics at the National Technical University in Athens, Greece. Kenneth D. T-R McLaughlin is Associate Professor of Mathematics at the University of North Carolina, Chapel Hill. Peter D. Miller is Assistant Professor of Mathematics at the University of Michigan, Ann Arbor. ... Read more
Reviews for Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154)
"Overall, this ... book [gives] a deep insight into the application of inverse scattering to equation... Most of the current books on solution theory tend to focus mainly on inverse scattering for the KdV equation, so a book that concentrates solely on the NLS equation is refreshing."
Peter Clarkson, Bulletin of the London Mathematical Society
Peter Clarkson, Bulletin of the London Mathematical Society