Modulational instability of obliquely interacting capillary-gravity waves over infinite depth

• Autorzy: Manna S. , Dhar A. K.

Identyfikatory

DOI

10.24423/aom.3777

• Języki publikacji: EN

Abstrakty

EN

Two coupled time-dependent two dimensional nonlinear Schrödinger equations have been derived using multiscale expansion for two nonlinearly interacting capillary-gravity waves over an infinite depth of water. These equations are then utilised to discuss the modulational (Benjamin-Feir) instability of two Stokes wavetrains due to unidirectional and bidirectional perturbations. It is found from the graphs and the three-dimensional contour plots that the rate of growth of instability for two wave packets interacting obliquely is higher than the instance of modulation of one wave packet. We have likewise examined the influence of capillarity on modulational instability.

Słowa kluczowe

EN

nonlinear Schrödinger equation; crossing sea states; capillary-gravity waves; modulational instability

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2021
• Tom: Vol. 73, nr 5-6
• Strony: 583--598
• Opis fizyczny: Bibliogr. 15 poz., rys. kolor., wykr.

Twórcy

autor

Manna S.

• Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal, India

autor

Dhar A. K.

• Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal, India

Bibliografia

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