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master's thesis
Plohe konstantne negativne zakrivljenosti
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:650207
Davidović, Slavko
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Davidović, S. (2017). Plohe konstantne negativne zakrivljenosti (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:650207

Davidović, Slavko. "Plohe konstantne negativne zakrivljenosti." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:650207

Davidović, Slavko. "Plohe konstantne negativne zakrivljenosti." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:650207

Davidović, S. (2017). 'Plohe konstantne negativne zakrivljenosti', Master's thesis, University of Zagreb, Faculty of Science, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:650207

Davidović S. Plohe konstantne negativne zakrivljenosti [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:217:650207

S. Davidović, "Plohe konstantne negativne zakrivljenosti", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:650207

Metadata
TitlePlohe konstantne negativne zakrivljenosti
AuthorSlavko Davidović
MentorŽeljka Milin-Šipuš (mentor)
Committee memberŽeljka Milin-Šipuš (predsjednik povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
Committee memberJuraj Šiftar (član povjerenstva)
Committee memberSanja Varošanec (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2017-02-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu promatrali smo hiperboličke plohe koje pod posebnim uvjetima možemo nazvati pseudosfernim plohama. Veliku ulogu tu je imala Gaussova zakrivljenost za koju smo odredili da bude negativna i konstantna, odakle potječe naslov ovoga rada. Zatim smo izveli sinus-Gordonovu jednadžbu plohe i njenu Bäcklundovu transformaciju koja daje vezu između nove i početne pseudosferne plohe. Na kraju smo vidjeli neke primjere primjena Backlundove transformacije pri generiranju multisolitonskih rješenja.
Abstract (english)
In this thesis we observe hyperbolic surfaces which, under special conditions, are also called pseudospherical surfaces. The crucial part in this case has the Gaussian curvature which we set to be negative and constant. This also gives the title of this thesis. We show that the Bäcklund transformation for the sine-Gordon equation gives connection between new and initial pseudospherical surfaces. Finally, we present some examples of applications of the Bäcklund transformation in construction of multi-soliton solutions.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:650207
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-04-21 08:48:59