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
Access to Electronic Version.


LibraryMaterial TypeItem BarcodeShelf NumberStatus
IYTE LibraryThesisT000220QC174.26.W28 D96 2009Tez Koleksiyonu
IYTE LibrarySupplementary CD-ROMROM1396QC174.26.W28 D96 2009 EK1Tez Koleksiyonu