Riemann-Hilbert approach to the reverse space-time nonlocal short pulse equation

We investigate the reverse space-time nonlocal short pulse (NSP) equation. First, starting from the Lax pair of the reverse space-time NSP equation, we derive and present its isospectral deformations. The paper focuses on the spectral analysis related to the equation. It is particularly noteworthy that, due to the singular behavior of the spectral parameter, we analyze it by dividing it into two cases: \gamma = 0 and \gamma = \infty . Based on the preceding analysis results, we construct a Riemann-Hilbert problem for the reverse space-time NSP equation and develop the solution in the new scale (z, t) .