Investigation of solitons in the Benjamin-Ono nonlinear system = 벤자민-오노 비선형 계에서의 솔리톤 연구

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The Benjamin-Ono equation which describes deep internal water waves is reviewed and its soliton solutions are investigated both theoretically and numerically in periodic domain. To obtain the equation, instead of the formal scale-parameter expansions, the nonlinear effect which represents the inertia of the fluid is appended to the linear wave equation from the dispersion relation. An efficient way to generate N-solitons is to set the initial condition to be N-multiple of the single soliton solution. The case of N=2 is predicted and numerically confirmed. We studied the dynamics of the solitons by investigating the motions of the center of mass (COM) for several initial conditions. We observed irregular cycling motions of the COM and the relative recurrence times of initial conditions were order of ten times of the cycling time of COM.
Advisors
Moon, Hie-Taeresearcher문희태researcher
Description
한국과학기술원 : 물리학과,
Publisher
한국과학기술원
Issue Date
1996
Identifier
105909/325007 / 000943095
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 물리학과, 1996.2, [ 36 p. ]

Keywords

비선형 동력학; 벤자민-오노; 솔리톤; Nonlinear Dynamics; Benjamin-Ono; Soliton

URI
http://hdl.handle.net/10203/48384
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=105909&flag=dissertation
Appears in Collection
PH-Theses_Master(석사논문)
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