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Schrodinger equations in nonlinear s...

Liu, Wu-Ming.

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Schrodinger equations in nonlinear systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Schrodinger equations in nonlinear systems/ by Wu-Ming Liu, Emmanuel Kengne.
作者:	Liu, Wu-Ming.
其他作者:	Kengne, Emmanuel.
出版者:	Singapore :Springer Singapore : : 2019.,
面頁冊數:	xvi, 569 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Gross-Pitaevskii equations. -
電子資源:	https://doi.org/10.1007/978-981-13-6581-2
ISBN:	9789811365812

Schrodinger equations in nonlinear systems
Liu, Wu-Ming.

Schrodinger equations in nonlinear systems[electronic resource] /by Wu-Ming Liu, Emmanuel Kengne. - Singapore :Springer Singapore :2019. - xvi, 569 p. :ill. (some col.), digital ;24 cm.

This book explores the diverse types of Schrodinger 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 Schrodinger (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 Schrodinger 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: 9789811365812

Standard No.: 10.1007/978-981-13-6581-2doiSubjects--Topical Terms:

2139587
Gross-Pitaevskii equations.

LC Class. No.: QC174.26.W28

Dewey Class. No.: 530.124

Schrodinger equations in nonlinear systems
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245 1 0 $a Schrodinger equations in nonlinear systems $h [electronic resource] / $c by Wu-Ming Liu, Emmanuel Kengne.
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300 $a xvi, 569 p. : $b ill. (some col.), digital ; $c 24 cm.
520 $a This book explores the diverse types of Schrodinger 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 Schrodinger (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 Schrodinger 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.
650 0 $a Gross-Pitaevskii equations. $3 2139587
650 1 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Condensed Matter Physics. $3 1067080
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