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Discrete and Continuous Nonlinear Schrödinger Systems (London Mathematical Society Lecture Note Series)
Rok: 2004
ISBN: 9780521534376
NKP-CNB: boa001-muni.000985523
OKCZID: 110129347
Citace (dle ČSN ISO 690):
ABLOWITZ, Mark J. Discrete and continuous nonlinear Schrödinger systems. Cambridge: Cambridge University Press, 2004. ix, 257 s. London Mathematical Society lecture note series, 302.
Anotace
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.