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: Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics
  name:
    name part: Galaktionov, Victor A.
    role:
      role term: creator
  name:
    name part: Svirshchevskii, Sergey R.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    place:
      place term: Boca Raton
    publisher: Chapman & Hall/CRC
    date issued: ©2007
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxx, 498 pages) : illustrations
  abstract: Providing exact solutions of more than 100 nonlinear equations and models, this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including gas dynamics models, free-boundary problems, Green-Naghdi equations, and quasilinear pseudo-parabolic (magma) equations. Using exact solutions, they describe the evolution properties related to singularity blow-up or extinction phenomena, fin.
  table of contents: Chapter 1 Linear Invariant Subspaces in Quasilinear Equations: Basic Examples and Models -- chapter 2 Invariant Subspaces and Modules: Mathematics in One Dimension -- chapter 3 Parabolic Equations in One Dimension: Thin Film, Kuramoto-Sivashinsky, and Magma Models -- chapter 4 Odd-Order One-Dimensional Equations: Korteweg-de Vries, Compacton, Nonlinear Dispersion, and Harry Dym Models -- chapter 5 Quasilinear Wave and Boussinesq Models in One Dimension. Systems of Nonlinear Equations -- chapter 6 Applications to Nonlinear Partial Differential Equations in IR N -- chapter 7 Partially Invariant Subspaces, Invariant Sets, and Generalized Separation of Variables -- chapter 8 Sign-Invariants for Second-Order Parabolic Equations and Exact So- lutions -- chapter 9 Invariant Subspaces for Discrete Operators, Moving Mesh Methods, and Lattices.
  note: Victor A. Galaktionov, Sergey R. Svirshchevskii.
  note: Includes bibliographical references (pages 467-492) and index.
  subject:
    topic: Differential equations, Partial
    topic: Numerical solutions
  subject:
    topic: Nonlinear theories
    topic: Methodology
  subject:
    topic: Invariant subspaces
    topic: Methodology
  subject:
    topic: Exact (Philosophy)
    topic: Mathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Équations aux dérivées partielles
    topic: Solutions numériques
  subject:
    topic: Théories non linéaires
    topic: Méthodologie
  subject:
    topic: Sous-espaces invariants
    topic: Méthodologie
  subject:
    topic: Exact (Philosophie)
    topic: Mathématiques
  subject:
    topic: Physique mathématique
  subject:
    topic: MATHEMATICS
    topic: Numerical Analysis
  subject:
    topic: Differential equations, Partial
    topic: Numerical solutions
  subject:
    topic: Mathematical physics
  subject:
    topic: Partiella differentialekvationer
  classification: QA377 .G2217 2007
  classification: 518/.64
  related item:
    title info:
      title: Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics
    name:
      name part: Galaktionov, Victor A.
    origin info:
      publisher: Boca Raton, FL : Chapman & Hall/CRC, ©2007
    identifier: (DLC) 2006049622
    identifier: (OCoLC)70775759
  related item:
    title info:
      title: Chapman & Hall/CRC applied mathematics and nonlinear science series
  identifier: 1420011626
  identifier: 9781420011623
  identifier: 1584886633
  identifier: 9781584886631
  identifier: TANDF_184423 Ingram Content Group
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OSU
    record creation date: 080611
    record change date: 20241111204635.6
    record identifier: in00005527138
    language of cataloging:
      language term: eng