RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Main page
About this project
Software
Classifications
Links
Terms of Use

Search papers
Search references

RSS
Current issues
Archive issues
What is RSS






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Engineering Journal: Science and Innovation, 2013, Issue 2, Pages 47–25 (Mi engj2)  

Defocusing of nonlinear wave packets on an ice cover

A. T. Ilicheva, A. A. Savinb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Bauman Moscow State Technical University

Abstract: We study nonlinear wave packets bifurcating from the quiescent state on the surface of an ideal incompressible fluid beneath an ice cover. The ice cover is modeled by a geometrically nonlinear elastic sheet of the Kirchhoff–Love type floating on the fluid surface, the ideal fluid being described by Euler's system of equations with the additional surface pressure due to the presence of the elastic sheet. There are different types of solitary waves, arising on the fluid surface, among them solitary wave packets with equal phase and group speeds. It is shown, as the depth of the fluid increases, the resonance wave number is displaced into the defocusing region where no solitary wave packets exist.

Funding Agency Grant Number
Russian Foundation for Basic Research 12-05-00889
11-01-00335


DOI: https://doi.org/10.18698/2308-6033-2013-2-611


Document Type: Article

Linking options:
  • http://mi.mathnet.ru/eng/engj2

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:5

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019