DOI

The control of the smoothness of an antikink profile of the Sine Gordon equation is considered. It is shown that variations in the initial conditions give rise to oscillations on the profile of the antikink. The control algorithm based on variation of one of the coefficient of the equation is developed to recover the smooth wave shape and the phase velocity of the antikink.

Original languageEnglish
Title of host publicationPROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)
EditorsT Simos, C Tsitouras
PublisherAmerican Institute of Physics
Number of pages4
DOIs
StatePublished - 2016
EventInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 - Rodos Palace Hotel, Rhodes, Greece
Duration: 23 Sep 201529 Sep 2015
https://elibrary.ru/item.asp?id=26404479
http://history.icnaam.org/icnaam_2015/index-2.html

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1738
ISSN (Print)0094-243X

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Abbreviated titleICNAAM
Country/TerritoryGreece
CityRhodes
Period23/09/1529/09/15
Internet address

    Research areas

  • control, nonlinear wave, nonlinear equation, numerical solution

ID: 13720127