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Discrete and Continuous Nonlinear Schrodinger Systems by Mark J. Ablowitz

Discrete and Continuous Nonlinear Schrodinger Systems

by Mark J. Ablowitz , B. Prinari , D. Trubatch
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Book cover type: Paperback
  • ISBN13: 9780521534376
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 268
  • Original Price: GBP 91.0
  • Language: English
  • Edition: N/A
  • Item Weight: 341 grams
  • BISAC Subject(s): Differential Equations / General

Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations", a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field can be traced to understanding "solitons" and the associated development of a method of solution termed the inverse scattering transform (IST). The IST technique applies to continuous and discrete nonlinear Schrödinger (NLS) equations of scalar and vector type. This work presents a detailed mathematical study of the scattering theory, offers soliton solutions, and analyzes both scalar and vector soliton interactions. The authors provide advanced students and researchers with a thorough and self-contained presentation of the IST as applied to nonlinear Schrödinger systems.

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