Lump-soliton solutions to the Fokas system

Publication date: Available online 25 January 2019Source: Physics Letters AAuthor(s): Jiguang Rao, Dumitru Mihalache, Yi Cheng, Jingsong HeAbstractIn this letter, we obtain families of semi-rational solutions termed lump-soliton solutions to the Fokas system by using the Hirota's bilinear method combined with the Kadomtsev-Petviashvili (KP) hierarchy reduction method. These exact semi-rational solutions illustrate the collision of lumps and dark-line solitons. Two different types of evolution scenarios occur: (a) fusion of lumps and dark-line solitons into dark-line solitons, and (b) fission of dark-line solitons into lumps and dark-line solitons. In these distinct evolution processes, the lumps would get either created or annihilated by the dark-line solitons.

Source: Physics Letters A - January 26, 2019 Category: Physics Source Type: research