摘要
A new coupled integrable dispersionless equation is presented by considering a spectral problem. A Darboux transformation for the resulting coupled integrable dispersionless equation is constructed with the help of spectral problems. As an application, the N-soliton solution of the coupled integrable dispersionless equation is explicitly given.
A new coupled integrable dispersionless equation is presented by considering a spectral problem. A Darboux transformation for the resulting coupled integrable dispersionless equation is constructed with the help of spectral problems. As an application, the N-soliton solution of the coupled integrable dispersionless equation is explicitly given.
基金
supported by the National Key Basic Research Project of China(Grant No 2004CB318000)
the National Natural Science Foundation of China(Grant No 10771072)
the Research Fund far the Doctoral Program of Higher Education of China(Grant No 20060269006)
the PhD Program Scholarship Fund of East China Normal University(ECNU)2008,China(Grant No 20080052)
the Natural Science Foundation of Inner Mongolia Normal University,China(Grant No ZRYB08017)