Journal
COMPLEXITY
Volume 2019, Issue -, Pages -Publisher
WILEY-HINDAWI
DOI: 10.1155/2019/5874904
Keywords
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Funding
- National Natural Science Foundation of China [11101029, 11271362, 11375030, DMS-1664561]
- Fundamental Research Funds for the Central Universities [610806]
- Beijing City Board of Education Science and Technology Key Project [KZ201511232034]
- Beijing Nova Program [Z131109000413029]
- Beijing Finance Funds of Natural Science Program for Excellent Talents [2014000026833ZK19]
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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 Painleve 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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