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Abstrakty
A higher order nonlinear evolution equation for gravity waves in deep water is derived from Zakharov's integral equation which is valid for a much broader bandwidth gravity waves than considered previously. The instability regions in the perturbed wave-number space for a uniform Stokes wave obtained from this equation is shown to fit nicely those obtained by McLean et al. [Phys. Rev. Lett. 46, 817-820(1981)] by exact numerical method.
Rocznik
Tom
Strony
557--563
Opis fizyczny
Bibliogr. 6 poz., wykr.
Twórcy
autor
autor
- Department of Applied Mathematics University of Calcutta 92, A.P.C. Road, Kolkata-700 009, INDIA, sdappmath@caluniv.ac.in
Bibliografia
- Crawford D.R., Saffman P.G. and Yuen H.C. (1980): Evolution of random inhomogeneous field of nonlinear deep water gravity waves. - Wave Motion, vol.2, pp.1-16.
- Debsarma S. and Das K.P. (2005): A higher order nonlinear evolution equation for broader bandwidth gravity waves in deep water. - Phys. Fluids, vol.17, pp.1-8.
- McLean J.W., Ma Y.C., Martin D.U., Saffman P.G. and Yuen H.C. (1981): Three dimensional instability of finite amplitude water waves. - Phys. Rev. Lett., vol.46, pp.817-820.
- Stiassnie M. (1984): Note on the modified nonlinear Schrödinger equation for deep water waves. - Wave Motion, vol.6, pp.431-433.
- Trulsen K. and Dysthe K.B. (1996): A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water. - Wave Motion, vol.24, pp.281-289.
- Trulsen K., Kliakhandler I., Dysthe K.B. and Velarde M.G. (2000): On weakly nonlinear modulation of waves on deep water. - Phys. Fluids, vol.12, pp.2432-2437.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0031-0017