Speaker : Prof. Jen-Hsu Chang(National Defense University)
Title : Mankov-Santini system and its hydrodynamic reductions
Time : 2012-07-30 (Mon) 14:00 - 15:00
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: We investigate the integrable (2 + 1)-dimensional Manakov-Santinit system from the Lax-Sato form. The hydrodynamic reductions are studied and then we can reduce the Mankov-Santini system to a hydrodynamic system. Infinitely many commuting flows are derived. Using the generalized hodograph method, one can solve the hydrodynamic systems and then the infinite exact solutions of Mankov-Santini system are obtained. Several examples are discussed. This is a joint work with M.Pavlov and Yu-Tung Chen.