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- catalog abstract "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 Schrḏinger (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 Schrḏinger systems.".
- catalog contributor b13083947.
- catalog contributor b13083948.
- catalog contributor b13083949.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description "1. Introduction -- 2. Nonlinear Schrḏinger equation (NLS) -- 3. Integrable discrete nonlinear Schrḏinger equation (IDNLS) -- 4. Matrix nonlinear Schrḏinger equation (MNLS) -- 5 Integrable discrete matrix NLS equation (IDMNLS).".
- catalog description "Includes bibliographical references (p. 243-254) and index.".
- catalog description "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 Schrḏinger (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 Schrḏinger systems.".
- catalog extent "ix, 257 p. ;".
- catalog identifier "0521534372 (pbk.)".
- catalog isPartOf "London Mathematical Society lecture note series 302".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Cambridge, UK ; New York : Cambridge University Press,".
- catalog subject "530.12/4 21".
- catalog subject "Inverse scattering transform.".
- catalog subject "Nonlinear theories.".
- catalog subject "QC174.26.W28 A26 2004".
- catalog subject "Schrödinger equation.".
- catalog tableOfContents "1. Introduction -- 2. Nonlinear Schrḏinger equation (NLS) -- 3. Integrable discrete nonlinear Schrḏinger equation (IDNLS) -- 4. Matrix nonlinear Schrḏinger equation (MNLS) -- 5 Integrable discrete matrix NLS equation (IDMNLS).".
- catalog title "Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch.".
- catalog type "text".