Discrete and Continuous Nonlinear Schrodinger Systems di Mark J. Ablowitz, B. Prinari, D. Trubatch edito da Cambridge University Press
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Discrete and Continuous Nonlinear Schrodinger Systems

EAN:

9780521534376

ISBN:

0521534372

Pagine:
268
Formato:
Paperback
Lingua:
Inglese
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Descrizione Discrete and Continuous Nonlinear Schrodinger Systems

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 Schrö dinger (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 Schrö dinger systems.

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