17 citations · 26 across the 5 of their papers we have counts for
5 papers
Explicit lump and line rogue wave solutions to a modified Hietarinta equation
Solomon Manukure, Morgan McAnally, Yuan Zhou +2
Lump solutions are spatially rationally localized solutions which usually arise as solutions to higher dimensional nonlinear partial differential equations often possessing Hirota…
Integrability, geometry and wave solutions of some Kairat equations
Zh. Myrzakulova, S. Manukure, R. Myrzakulov +1
In this paper, we study some Kairat equations. The relation between the motion of curves and Kairat equations is established. The geometrical equivalence between the Kairat-I equat…
Riemann-Hilbert problems for a nonlocal reverse-spacetime Sasa-Satsuma hierarchy of a fifth-order equation and its soliton solutions
Ahmed M. G. Ahmed, Alle Adjiri, Solomon Manukure
We aim to present and analyze a nonlinear nonlocal reverse-spacetime fifth-order scalar Sasa-Satsuma equation, based on a nonlocal matrix AKNS spectral problem. Starti…
A note on Dickson polynomials of the third kind and Legendre functions
Neranga Fernando, Solomon Manukure
In this paper, we show that the Dickson polynomials of the third kind satisfy a nonhomogeneous second order linear ordinary differential equation whose general solution contains Le…
A counterpart of the WKI soliton hierarchy associated with so(3,R)
Wen-Xiu Ma, Solomon Manukure, Hong-Chan Zheng
A counterpart of the Wadati-Konno-Ichikawa (WKI) soliton hierarchy, associated with so(3,R), is presented through the zero curvature formulation. Its spectral matrix is defined by…