Riemann–Hilbert approach of the complex Sharma–Tasso–Olver equation and its N-soliton solutions

Abstract

We study the complex Sharma–Tasso–Olver equation using the Riemann–Hilbert approach. The associated Riemann–Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair. Subsequently, in the case that the Riemann–Hilbert problem is irregular, the N-soliton solutions of the equation can be deduced. In addition, the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.