A higher order nonlinear evolution equation for much broader bandwidth gravity waves in deep water

• Autorzy: Debsarma S. , Das K. P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

broader bandwidth; evolution equation; instability regions; gravity waves; Zakharov's integral equation

PL

mechanika płynów; przepustowość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 2
• Strony: 557--563
• Opis fizyczny: Bibliogr. 6 poz., wykr.

Twórcy

autor

Debsarma S.

autor

Das K. P.

• Department of Applied Mathematics University of Calcutta 92, A.P.C. Road, Kolkata-700 009, INDIA,

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.