Towering and internal rogue waves induced by two-layer interaction in non-uniform fluid. A 2D non-autonomous gCDGKSE

Abstract A Generalized (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation (2D- gCDGKSE) is an integro-differential that describes tow-layer fluid interaction. The non-autonomous gCDGKSE (NAUT-gCDGKSE) was rarely considered in the literature. In previous works, concepts of two-layer interaction and non-uniform were not explored. This motivated us to focus attention on these themes. Our objective inspecting waves structures which flows near a solid boundary. Thus, present work completely new. objective, here, inspect are similar those created waterfall, water behind dams, boat sailing, network canals during release, internal submarine. uniform fluid, rogue occur open oceans seas, while case towering barriers (islands) submarine, respectively. consolidated experimentally, as it shown wave produced tank (which with boundary). exact solutions NAUT-gCDGKSE derived by implementing extended unified method (EUM). applications, found EUM lower time cost symbolic computation, than when using Lie symmetry, Darboux AutoBucklund transformations. results obtained here evaluated numerically, they displayed graphs. They reveal multiple relevance Among them waves, (hollowed) bulge-U-shape S-shape wave, fall, saddle dromoions.