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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2010.12
- 수록면
- 53 - 56 (4page)
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As a weakly nonlinear model equations system for gravity-capillary solitary waves on the sur-face of a potential flow, a cubic-order truncation model is presented, which is derived from the Taylor series expansion of the Dirichlet-Neumann operator (DNO) for the free boundary conditions of the Euler equations in terms of Zakharov’s canonical variables. In deep water, the cubic-order truncation model allows gravity-capillary solitary wavepackets in the weakly nonlinear and narrow bandwidth regime where the classical nonlinear Schrodinger (NLS) equation governs. Since this model is consistent to the original full Euler equations in the order of nonlinearity up to the third order, the properties of the gravity-capillary solitary waves of this model precisely agree with the counterparts of the Euler equations. From this cubic order truncation model, the leading-order initial long-wave transverse instability growth rate of the gravity-capillary solitary waves is estimated to be identical, in the weakly nonlinear limit, to the earlier result derived from the Euler equations, through an equivalent perturbation procedure. Based on these analytical and numerical observations, the cubic-order truncation model equations system is regarded as the optimal reduced model for the dynamics of general weakly nonlinear gravity-capillary waves.
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UCI(KEPA) : I410-ECN-0101-2013-410-000845760