Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4064
Title: Resonance solitons and direct methods in soliton theory
Authors: Pashaev, Oktay
Duruk, Selin
Issue Date: 2009
Publisher: Izmir Institute of Technology
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.
Description: Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009
Includes bibliographical references (leaves: 79-82)
Text in English; Abstract: Turkish and English
ix, 85 leaves
URI: http://hdl.handle.net/11147/4064
Appears in Collections:Master Degree / YĆ¼ksek Lisans Tezleri

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