1. Department of Applied Mathematics, China Agricultural University, Beijing 100083, China;2. Department of Mathematical Science, Tsinghua University, Beijing 100084, China
Abstract:
The Qiao--Liu equation with self-consistent sources (QLESCS) and its Lax representation are derived. A reciprocal transformation for the QLESCS is given. By making use of the reciprocal transformation and the solutions of the mKdV equation with self-consistent sources (mKdVSCS), the solutions of the QLESCS are presented.