Collision dynamics between breather and lump-type localized waves in the (3+1)-dimensional shallow water wave equation
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DOI: 10.1088/1402-4896/ad7422
Abstract: In this paper, the collision dynamics of breather and lump-type localized waves in the (3+1)-dimensional shallow water wave equation are investigated in detail. Firstly, the auto-Bäcklund transformation and the linear representation of the (3+1)-dimensional shallow… read more here.
Keywords: shallow water; breather lump; water wave; localized waves ... See more keywords
Lump-type solution, rogue wave, fusion and fission phenomena for the (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation
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DOI: 10.1142/s0217984919501987
Abstract: By means of the Hirota bilinear method, lump-type solution and two types of interaction solutions of the (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation are obtained, respectively. Lump-type solution is constructed by assuming f in the corresponding bilinear equation… read more here.
Keywords: type solution; equation; lump type; dimensional caudrey ... See more keywords