Extended (G'/G) Method Applied to the Modified Non-Linear Schrodinger Equation in the Case of Ocean Rogue Waves

Atock A. Nwatchok Stéphane^1*, Daika Augustin², Mbane Biouélé César²

¹Department of Mathematics and Physics, National Advanced School of Engeneering, University of Yaounde I, Yaounde, Cameroon.
²Department of Physics, Faculty of Science, University of Yaoundé I, Yaoundé, Cameroon.

DOI: 10.4236/ojms.2014.44023                

Abstract

The existence of rogue (or freak) waves is now universally recognized and material proofs on the extent of damage caused by these ocean’s phenomena are available. Marine observations as well as laboratory experiments show exactly that rogue waves occur in deep and shallow water. To study the behavior of freak waves 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 derive a modified nonlinear Schrödinger equation modeling the propagation of rogue waves in deep water in order to seek analytic solutions of this nonlinear partial differential equation by using generalized extended G'/G-expansion method with the aid of mathematica. Particular attentions have been paid to the behavior of rogue wave’s amplitude which highlights rogue wave’s destructive power.

Keywords

Deep Water, Generalized Extended G'/G-Expansion Method, Rogue Waves

Conflicts of Interest

The authors declare no conflicts of interest.

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