Abstract

In this study, we focus on investigating a complex modified short pulse (CSP) equation with zero boundary condition at infinity . Based on the analytical and symmetric properties of eigenfunctions and spectral matrix of its Lax pair , a Riemann-Hilbert problem for the initial-value problem of the CSP equation is established. The one-soliton solutions and breather-type solutions of the CSP equation are further given by solving the Riemann-Hilbert problem.

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