Resonance solitons and direct methods in soliton theory
by
Duruk, Selin.
Title
:
Resonance solitons and direct methods in soliton theory
Author
:
Duruk, Selin.
Personal Author
:
Duruk, Selin.
Publication Information
:
[s.l.]: [s.n.], 2009.
Physical Description
:
ix, 85 leaves.: ill. + 1 computer laser optical disc.
Abstract
:
The Long-Short Wave interaction equations with adding quantum potential term and the Davey-Stewartson equation with addition of both, the quantum potential and the Hamiltonian terms are studied. These equations are reduced to different cases according to the choice of the quantum potential strength. For over critical case reductions to the non-linear diffusion-antidiffusion systems are derived. By the Hirota Direct Method one dissipaton solution of the system is derived. Two and three dissipaton (soliton) solutions are constructed explicitly. For special choice of the parameters they show the resonance character of interaction by fusion and fission of solitons.
Subject Term
:
Solitons -- Mathematical models.
Wave-motion, Theory of.
Wave equation.
Added Author
:
Pashaev, Oktay K..
Added Corporate Author
:
İzmir Institute of Technology. Mathematics.
Added Uniform Title
:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | Thesis | T000220 | QC174.26.W28 D96 2009 | Tez Koleksiyonu |
IYTE Library | Supplementary CD-ROM | ROM1396 | QC174.26.W28 D96 2009 EK1 | Tez Koleksiyonu |