Jianke Yang's Homepage

Ph.D. 1994: MIT;    B.S. 1989, Tsinghua University

                   Professor:    2005 -- present
Associate Professor:    2000 -- 2005
Assistant Professor:    1994 -- 2000


    

I am a professor in the Department of Mathematics and Statistics at the University of Vermont. My research focuses on nonlinear waves (nonlinear PDEs) and their physical applications. Nonlinear waves are abundant in science and engineering. They include optical pulses in fibers, light beams in crystals and air, surface waves and internal waves in the ocean, and so on. This research has direct applications to fiber telecommunication systems, nonlinear optics and oceanography. One example is the concept of using optical solitons as information bits in data transmission, which is revolutionizing the telecommunication industry. Mathematically, nonlinear waves are described by nonlinear partial differential equations (PDEs). Some of these equations are integrable. Such equations have magic! Most others are not integrable. In such cases, both the numerical and analytical methods are important. This is a challenging field. Many discoveries are yet to be made.