Long-time asymptotics of the good Boussinesq equation with <i>q</i> <i>xx</i>-term and its modified version
Long-time asymptotics of the good Boussinesq equation with <i>q</i> <i>xx</i>-term and its modified version
Two modified Boussinesq equations along with their Lax pairs are proposed by introducing the Miura transformations. The modified good Boussinesq equation with initial condition is investigated by the Riemann–Hilbert method. Starting with the three-order Lax pair of this equation, the inverse scattering transform is formulated and the Riemann–Hilbert problem is …