Rogue waves in (2+1)-dimensional three-wave resonant interactions

Rogue waves in (2+1)-dimensional three-wave resonant interactions are studied by the bilinear KP-reduction method. General rogue arising from a constant background, lump-soliton background and dark-soliton have been derived, their dynamics illustrated. For fundamental line-shaped, multi-rogue exhibit multiple intersecting lines. Higher-order could also be but they parallel distinctive patterns due to interaction with lump soliton. intensity pattern feature half-line shapes or shapes, which very novel.