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Boomeron- and Trappon Solitons InvestigatedAnalytically and Numerically
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This report presents an analysis of the phenomena of boomeron- and trappon solitons

both analytically and numerically. These solitons are investigated in the (1+1) dimension,

i.e. one spatial dimension plus the temporal dimension. The investigation regards the

Boomeron equation (BE) and the non-linear Schrödinger equation (NLSE). Additional

equations giving rise to these phenomena are also presented. A special focus of the

investigation is the relation between the changing velocity and the polarization for the BE

and the NLSE. For the NLSE, this is enabled through an interpretation of the components

for the single-soliton solution.

The BE is solved analytically through the inverse scattering transform. The analytical

solutions for the BE and NLSE are compared with numerically obtained single-soliton

solutions for the two equations respectively. The numerical solutions are conducted using

a finite difference method (FDM) based on central difference.

Place, publisher, year, edition, pages
2013. , 34 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-127023OAI: diva2:643382
Available from: 2013-08-27 Created: 2013-08-27 Last updated: 2013-08-27Bibliographically approved

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