Mechanism of the Emergence of Rogue Waves As a Result of the Interaction between Internal Solitary Waves in a Stratified Basin

Abstract

The features of the interaction between internal solitary waves are investigated within the framework of the completely integrable Gardner equation with positive cubic nonlinearity. It is shown that the soliton polarity affects radically the result of the interaction between the solitons. The role of the pair interactions between solitons of different polarities proceeding when rogue waves emerge in the soliton fields in a stratified basin is demonstrated. The effect of such interactions on the higher-order moments of the wave field is studied.