Seminar on Integrable Systems

主講者: 張仁煦 教授 (國防大學)
講題: Mankov-Santini system and its hydrodynamic reductions
時間: 2012-07-30 (Mon.)  14:00 - 15:00
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.
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