Kumar, Abhishek (2013) Rogue Solitons. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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PDF (MS Dissertation of Abhishek Kumar (08MS38))
Abhishek_Kumar-08MS38-MSThesis.pdf - Submitted Version Restricted to Repository staff only Download (3MB) |
Abstract
Our aim is to investigate the exact Peregrine soliton for nonlinear Schrodinger equation (NLSE) driven by plane wave and phase locked with it. Firstly, the Peregrine soliton from NLSE is studied and then using the same procedure, the same is tried to construct for NLSE with source. It seems that the Peregrine soliton does not exist for such type of equation and we got a trivial constant solution. Another part of our project is the investigation of rogue wave from sine-Gordon equation. The breather solution for such an equation is already known. It was hypothesized that the limiting case of breathers would give rogue waves but very interestingly, we ended up in getting a new type of solution which is also an important solution to describe.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Prof. Prasanta K. Panigrahi |
| Uncontrolled Keywords: | Rogue Solitons; Solitons; Breathers; Nonlinear Schrodinger Equation; Optical Fibres; Peregrine Soliton; Sine-Gordon Equation |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Physics |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 06 May 2013 05:32 |
| Last Modified: | 12 Nov 2014 04:34 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/50 |
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