The short pulse equation by a Riemann-Hilbert approach

Anne Boutet de Monvel, Dmitry Shepelsky, Lech Zielinski

We develop a Riemann-Hilbert approach to the inverse scattering transform method for the short pulse (SP) equation $u_{xt}=u+\frac{1}{6}(u^3{)}_{xx}$ with zero boundary conditions (a…