报告题目： A two-component generalization of the Degasperis-Precesi equation and its short wave limit
 

摘要：We proposed a two-component generalization of the the Degasperis-Precesi equation. Firstly, under a pseudo 3-reduction, we have shown that the two-component reduced Ostrovsky equation can be reduced from an extended BKP hierarchy through a hodograph transformation. Its bilinear form and N-soliton solution in terms of pfaffians are constructed. One- and two-soliton solutions are presented. Moreover, we give a two-component generalization. Then, we construct a two-component Degasperis-Precesi equation and its Lax pair. If time permits, I will comment several types of short wave limit equation proposed by Hone, Novikov and J. Wang.