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Schrodinger equations in nonlinear s...

Kengne, Emmanuel.

Schrodinger equations in nonlinear systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Schrodinger equations in nonlinear systemsby Wu-Ming Liu, Emmanuel Kengne.
Author:	Liu, Wu-Ming.
other author:	Kengne, Emmanuel.
Published:	Singapore :Springer Singapore :2019.
Description:	xvi, 569 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Gross-Pitaevskii equations.
Online resource:	https://doi.org/10.1007/978-981-13-6581-2
ISBN:	9789811365812$q(electronic bk.)

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$q(electronic bk.)

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

715984
Gross-Pitaevskii equations.

LC Class. No.: QC174.26.W28

Dewey Class. No.: 530.124

Schrodinger equations in nonlinear systems
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100 1 $a Liu, Wu-Ming. $3 836707
245 1 0 $a Schrodinger equations in nonlinear systems $h [electronic resource] / $c by Wu-Ming Liu, Emmanuel Kengne.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
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 715984
650 1 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Condensed Matter Physics. $3 376278
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 760027
700 1 $a Kengne, Emmanuel. $3 836708
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-981-13-6581-2
950 $a Physics and Astronomy (Springer-11651)