| Abstract: |
| The Lax pair of a generalized second-order flow of three-wave Hierarchy is constructed by prolongation technique. Then the Riemann-Hilbert approach is applied to study the initial value problem and initial-boundary value problem of this flow, respectively. As a result, the soliton solutions of the initial value problem of this flow are derived explicitly and the solution of the initial-boundary value problem is expressed in terms of the solution of a matrix-value Riemann-Hilbert problem. |
|