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Discrete and Continuous Nonlinear Schrodinger Systems
by Mark J. Ablowitz and B. Prinari and D. Trubatch

Overview - 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.  Read more...

 
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More About Discrete and Continuous Nonlinear Schrodinger Systems by Mark J. Ablowitz; B. Prinari; D. Trubatch
 
 
 
Overview
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 Schrodinger (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 Schrodinger systems.

 
Details
  • ISBN-13: 9780521534376
  • ISBN-10: 0521534372
  • Publisher: Cambridge University Press
  • Publish Date: January 2004
  • Page Count: 268

Series: London Mathematical Society Lecture Notes #107

Related Categories

Books > Mathematics > Differential Equations - General
Books > Science > Waves & Wave Mechanics

 
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