 Shallow-water-wave studies on a (2 + 1)-dimensional Hirota–Satsuma–Ito system: X-type soliton, resonant Y-type soliton and hybrid solutionsYuan Shen, Bo Tian, Tian-Yu Zhou and Xiao-Tian Gao Chaos, Solitons & Fractals, 2022, vol. 157, issue C Abstract: Water waves can be seen in the rivers, lakes, oceans, etc. A (2 + 1)-dimensional Hirota–Satsuma–Ito system, which arises in the shallow water waves, is investigated in this work. Based on the given N-soliton solutions, we develop certain X-type and resonant Y-type soliton solutions via the Hirota method and symbolic computation, where N is a positive integer. We also construct some hybrid solutions consisting of the resonant Y-type solitons, solitons, breathers and lumps. The graphics we present show that the hybrid solutions consisting of the resonant Y-type solitons and solitons/breathers/lumps, respectively, describe the interactions between the resonant Y-type solitons and solitons/breathers/lumps. The obtained results are dependent on the water-wave coefficient in that system. Keywords: Shallow water waves; (2 + 1)-dimensional Hirota–Satsuma–Ito system; Symbolic computation; Hirota method; X-type solitons; Resonant Y-type solitons; Hybrid solutions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922000728 DOI: 10.1016/j.chaos.2022.111861 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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