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Rogue Solitons

Kumar, Abhishek (2013) Rogue Solitons. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    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 11:02
    Last Modified: 12 Nov 2014 10:04
    URI: http://eprints.iiserkol.ac.in/id/eprint/50

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