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We aim to present and analyze a nonlinear nonlocal reverse-spacetimefifth-order scalar Sasa-Satsuma equation, based on a nonlocal $5 \times 5$matrix AKNS spectral problem. Starting from a nonlocal matrix AKNS spectralproblem, local and nonlocal symmetry relations are derived from a group ofrotations. A kind of Riemann-Hilbert problem is formulated, which allows togenerate soliton solutions by using vectors lying in the kernel of the matrixJost solutions. When reflection coefficients are zeros, the jump matrix is theidentity and the corresponding Riemann-Hilbert problem yields solitonsolutions, whose explicit formulas enable us to explore their dynamics.

Riemann-Hilbert problems for a nonlocal reverse-spacetime Sasa-Satsuma hierarchy of a fifth-order equation and its soliton solutions