rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Schrödinger Equations in Nonlinear Systems
  name:
    name part: Liu, Wu-Ming.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Kengne, Emmanuel.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 569 p. 251 illus., 201 illus. in color. online resource.
  abstract: This book explores the diverse types of Schrödinger 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 Schrödinger (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 Schrödinger 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.
  table of contents: Overview of nonlinear Schrödinger equations -- Well-posedness of nonlocal boundary value problems and Schrödinger equations -- Nonlinear Schrödinger equations of single transmission lines -- Derivative nonlinear Schrödinger equations for single transmission lines -- NLS equations for the system of the nonlinear transmission line coupled by capacitor C₂ -- Inhomogeneous nonlinear Schrödinger equations of Bose-Einstein condensates with two-body interactions.
  note: by Wu-Ming Liu, Emmanuel Kengne.
  subject:
    topic: Physics
  subject:
    topic: Mathematical physics
  subject:
    topic: Condensed matter
  subject:
    topic: Statistical physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Condensed Matter Physics
  subject:
    topic: Applications of Nonlinear Dynamics and Chaos Theory
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  identifier: 9789811365812
  identifier: https://doi.org/10.1007/978-981-13-6581-2
  record info:
    record creation date: 190320
    record change date: 20191027033626.0
    record identifier: 978-981-13-6581-2