Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells system
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DOI: 10.1007/s11071-019-05285-y
Abstract: We study the dynamic behaviors of mixed localized solutions for the three-component coupled Fokas–Lenells (FL) system. First, the corresponding Lax pair and the generalized (n, M)-fold Darboux transformation are constructed. Second, the first- and second-order mixed… read more here.
Keywords: mixed localized; system; component; localized solutions ... See more keywords
Localized solutions of (5+1)-dimensional evolution equations
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DOI: 10.1007/s11071-021-06541-w
Abstract: In this research, the general linear evolution equations (EEs) in (5+1) dimensions are studied. All the mixed second-order derivatives are included in this aforementioned model. Using the Hirota bilinear operator and symbolic computation, the localized… read more here.
Keywords: solutions dimensional; localized solutions; abundant lump; lump solutions ... See more keywords
Stationary localized solutions in binary convection in slightly inclined rectangular cells.
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DOI: 10.1103/physreve.106.055106
Abstract: We analyze numerically the effect of a slight inclination in the lowest part of the snaking branches of convectons that are present in negative separation ratio binary mixtures in two-dimensional elongated rectangular cells. The exploration… read more here.
Keywords: stationary localized; rectangular cells; binary convection; convection slightly ... See more keywords
Interacting Localized Solutions of the Nonlinear Klein—Gordon Equation with a Variable Mass
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DOI: 10.1134/s002136402003011x
Abstract: A system consisting of material particles and a field is studied. The latter is described by the nonlinear Klein—Gordon equation. A modified Klein—Gordon equation, which allows the solutions of the Klein—Gordon equation with both zero… read more here.
Keywords: gordon equation; localized solutions; klein gordon; nonlinear klein ... See more keywords