[01] Augustin Daïka, Laboratory of Earth’s Atmosphere Physics, Faculty of Science, University of Yaoundé 1, Yaoundé, Cameroon; Department of Meteorology, Climatology, Hydrology and Pedology, National Advanced School of Engineering, University of Maroua, Maroua, Cameroon. [02] Cesar Mbané Biouélé, Laboratory of Earth’s Atmosphere Physics, Faculty of Science, University of Yaoundé 1, Yaoundé, Cameroon.

This paper presents a nonlinear evolution of gravity waves on the surface deep-water under the effects of viscosity and surfactant in terms of their space and time evolution, that is, their motion and also in terms of mechanical transformations that these systems may suffer in their dealings with other systems. We give a formal derivation of evolution equations, obtained from the modified nonlinear Schrödinger equation, for viscous capillary-gravity waves with surfactants in water of infinite depth. To fully simulate the non-linear evolution of the wave train in the presence of viscosity and surfactant, a new numerical model, based on the Bogning-Djeumen Tchaho-Kofane method (BDKm) and the Peregrine model, is developed. On the basis of these different approaches, the role of viscosity and surfactant on gravity waves in water of infinite depth is analyzed. The results show the effect of viscosity and surfactants on the nonlinear evolution of gravity waves on the surface deep-water. Naturally, they affect the remote images strongly in radar and lidar remote sensing of the sea surface.

Gravity Waves, Surface Deep-water, Presence of Viscosity and Surfactant, Bdk Method and Peregrine Model

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