Stable two-dimensional solitary pulses in linearly coupled dissipative Kadomtsev-Petviashvili equations
Stable two-dimensional solitary pulses in linearly coupled dissipative Kadomtsev-Petviashvili equations
We present a two-dimensional (2D) generalization of the stabilized Kuramoto-Sivashinsky system, based on the Kadomtsev-Petviashvili (KP) equation including dissipation of the generic [Newell-Whitehead-Segel (NWS)] type and gain. The system directly applies to the description of gravity-capillary waves on the surface of a liquid layer flowing down an inclined plane, with …