Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

The dynamics of unstable waves

Tools
- Tools
+ Tools

Law, K. J. H. and Hoq, Q. Enam (2009) The dynamics of unstable waves. In: Kevrekidis, Panayotis G., (ed.) The Discrete Nonlinear Schrödinger Equation :Discretized equations in which the evolution variable is continuous while the spatial variables are confined to the points on a lattice, have had a significant presence and impact across multiple disciplines [1. Springer, pp. 205-220. ISBN 9783540891987

Research output not available from this repository, contact author.
Official URL: http://dx.doi.org/10.1007/978-3-540-89199-4_10

Request Changes to record.

Abstract

Discretized equations in which the evolution variable is continuous while the spatial variables are confined to the points on a lattice, have had a significant presence and impact across multiple disciplines [1–6]. This should not be surprising considering that many natural processes and phenomena exhibit discrete structure [7–11]. As particular examples, we see that in physics the discrete nonlinear Schrödinger equation was used to model periodic optical structures [12], while in biology the Davydov equations model energy transfer in proteins [13]. These diverse phenomena are testament to the ubiquitousness of discrete regimes across diverse settings, and hence validate the need to study them. The study of discretized equations can be traced at least back to the work of Frenkel and Kontorova on crystal dislocations [14] and the Fermi–Pasta–Ulam problem [15].

Item Type: Book Item
Divisions: Faculty of Science > Mathematics
Publisher: Springer
ISBN: 9783540891987
ISSN: 0081-3869
Book Title: The Discrete Nonlinear Schrödinger Equation :Discretized equations in which the evolution variable is continuous while the spatial variables are confined to the points on a lattice, have had a significant presence and impact across multiple disciplines [1
Editor: Kevrekidis, Panayotis G.
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.232
Number of Pages: 416
Page Range: pp. 205-220
DOI: 10.1007/978-3-540-89199-4_10
Status: Peer Reviewed
Publication Status: Published

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item
twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us