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 #  AuthorTitleAccn#YearItem Type Claims
1 Kengne, Emmanuel Nonlinear Waves I12473 2022 Book  
2 Liu, Wu-Ming Schr??dinger Equations in Nonlinear Systems I08576 2019 eBook  
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TitleNonlinear Waves : From Dissipative Solitons to Magnetic Solitons
Author(s)Kengne, Emmanuel;Liu, WuMing
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionXXIV, 513 p. 230 illus., 169 illus. in color : online resource
Abstract NoteThis book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose???Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross???Pitaevskii equations. Based on the Heisenberg model of spin???spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering
ISBN,Price9789811967443
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. NONLINEAR OPTICS
Item TypeBook
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I12473     On Shelf    

2.    
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TitleSchr??dinger Equations in Nonlinear Systems
Author(s)Liu, Wu-Ming;Kengne, Emmanuel
PublicationSingapore, Springer Singapore, 2019.
DescriptionXVI, 569 p. 251 illus., 201 illus. in color : online resource
Abstract NoteThis book explores the diverse types of Schr??dinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose???Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schr??dinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose???Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schr??dinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose???Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures
ISBN,Price9789811365812
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. STATISTICAL PHYSICS
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I08576     On Shelf    

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