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Stable Periodic Waves in Coupled Kuramoto–Sivashinsky–Korteweg–de Vries Equations

Stable Periodic Waves in Coupled Kuramoto–Sivashinsky–Korteweg–de Vries Equations

Periodic waves are investigated in a system composed of a Kuramoto-Sivashinsky - Korteweg-de Vries (KS-KdV) equation, which is linearly coupled to an extra linear dissipative equation. The model describes, e.g., a two-layer liquid film flowing down an inclined plane. It has been recently shown that the system supports stable solitary …