Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 510–518
Abstract
Considering a reduced (3 + 1)-dimensional shallow water equation, we use Hirota formulation and symbolic calculation to derive positive lump solitons rationally localised in all directions of the $(x, y)$-plane. The interaction of the lump and one stripe solitons is studied. Numerical experiments show that the collision of such solutions is completely inelastic and the lump soliton is swallowed by the stripe one. Exploring the interaction of the lump and a couple of resonance stripe solitons, we note that the lump soliton transforms into a ghost soliton. Most of the time it remains hidden in stripe solitons, but appears at a certain time and fades after that.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.271217.130318
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 510–518
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Lump solution rogue wave (3+1)-dimensional shallow water equation Hirota bilinear operator.
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