N‐lump and interaction solutions of localized waves to the (2 + 1)‐dimensional asymmetrical Nizhnik–Novikov–Veselov equation arise from a model for an incompressible fluid
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DOI: 10.1002/mma.6665
Abstract: The present article deals with M‐soliton solution and N‐soliton solution of the (2 + 1)‐dimensional asymmetrical Nizhnik–Novikov–Veselov equation by virtue of Hirota bilinear operator method. The obtained solutions for solving the current equation represent some localized waves… read more here.
Keywords: dimensional asymmetrical; asymmetrical nizhnik; nizhnik novikov; novikov veselov ... See more keywords
N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation
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DOI: 10.1016/j.geomphys.2020.103598
Abstract: Abstract The present article deals with M -lump solution and N -soliton solution of the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation by virtue of Hirota bilinear operator method. The obtained solutions for solving the current equation represent… read more here.
Keywords: caudrey dodd; coefficient caudrey; localized waves; dimensional variable ... See more keywords
Localized waves at a line of dynamic inhomogeneities: General considerations and some specific problems
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DOI: 10.1016/j.jmps.2020.103901
Abstract: Abstract We consider a body, homogeneous or periodic, equipped with a structure composed of dynamic inhomogeneities uniformly distributed along a line, and study free and forced sinusoidal waves (Floquet - Bloch waves for the discrete… read more here.
Keywords: line; dynamic inhomogeneities; localized waves; waves line ... See more keywords
High-order localized waves in the (2+1)-dimensional Ito equation
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DOI: 10.1088/1402-4896/abfcf0
Abstract: In this paper, we mainly investigate the high-order localized waves in the (2+1)-dimensional Ito equation. By introducing a translation parameter and employing the Hirota derivative operator, we construct and analyze three kinds of high-order localized… read more here.
Keywords: localized waves; waves dimensional; order localized; high order ... See more keywords