Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

1 results

  • Numerical study of the Davey-Stewartson system

  • Christophe Besse, Norbert J. Mauser, Hans Peter Stimming
  • Journal:
    ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 6 / November 2004
    Published online by Cambridge University Press:
    15 December 2004, pp. 1035-1054
    Print publication:
    November 2004

  • We deal with numerical analysis and simulations of the Davey-Stewartson equationswhich model, for example, the evolution of water surface waves. This time dependent PDE system is particularly interesting as a generalization of the 1-d integrable NLS to 2 space dimensions. We use a time splitting spectral method wherewe give a convergence analysis for the semi-discrete version of the scheme.Numerical results are presented for various blow-up phenomena ofthe equation, including blowup of defocusing, elliptic-elliptic Davey-Stewartson systemsand simultaneous blowup at multiple locations in the focusingelliptic-elliptic system. Also the modeling of exact soliton type solutions for the hyperbolic-elliptic (DS2) system is studied.