Digital Object Identifier (DOI)
In this paper, we study the diversity of interaction solutions of a shallow water wave equation, the generalized Hirota–Satsuma–Ito (gHSI) equation. Using the Hirota direct method, we establish a general theory for the diversity of interaction solutions, which can be applied to generate many important solutions, such as lumps and lump-soliton solutions. This is an interesting feature of this research. In addition, we prove this new model is integrable in Painlevé sense. Finally, the diversity of interactive wave solutions of the gHSI is graphically displayed by selecting specific parameters. All the obtained results can be applied to the research of fluid dynamics.
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Citation / Publisher Attribution
Complexity, v. 2019, art. 5874904
Scholar Commons Citation
Yu, Jian-Ping; Ma, Wen-Xiu; Ren, Bo; Sun, Yong-Li; and Khalique, Chaudry Masood, "Diversity of Interaction Solutions of a Shallow Water Wave Equation" (2019). Mathematics and Statistics Faculty Publications. 51.