Lump and Mixed Rogue-Soliton Solutions of the (2 + 1)-Dimensional Mel’nikov System

Yue-jun Deng, Rui-yu Jia and Ji Lin

Complexity, 2019, vol. 2019, 1-9

Abstract:

Lump wave and line rogue wave of the (2 + 1)-dimensional Mel’nikov system are derived by taking the ansatz as the rational function. By combining a rational function and different exponential functions, mixed solutions between the lump and soliton are derived. These solutions describe the interaction phenomena of the lump-bright soliton with fission and fusion, the half-line rogue wave with a bright soliton, and a rogue wave excited from the bright soliton pair, respectively. Some special concrete interaction solutions are depicted in both analytical and graphical ways.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:1420274

DOI: 10.1155/2019/1420274

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