Robert Sachs Professor Office: Science & Technology Building I, Room 201D Phone: (703) 993-1464 Fax: (703) 993-1491 E-mail: rsachs@gmu.edu Personal Homepage: math.gmu.edu/~rsachs

Education

• Ph.D., 1980, Courant Institute (New York University)

• B.A., 1976, Harvard University, Applied Mathematics (summa cum laude)
  

Research

• Nonlinear partial differential equations, especially integrable and near-integrable Hamiltonian systems

• Education of gifted mathematics students
  

Selected Publications

• Global existence of smooth solutions and stabiity of solitary waves for a generalized Boussinesq equation, Comm. Math. Phys. 188, 1988, pp. 15-29

• On the integrable variant of the Boussinessq system: Paninleve property, rational soultions, a related many-body system and equivalence with the AKNS hierachy, Physica D 30, 1988, pp. 1-27

• On the transerse instability of solitary waves in the Kadomtsev-Petviashvili equation, with J. Alexander and R. Pego, Phys, Letters A, 1997

• On the stability of KdV Multi-Solitons, with J. Maddocks, Comm. Pure and Applied Math. 46 (1993), pp. 867-901

• Constrained Variational Principles and Stability in Hamiltonian Systems, in Hamiltonian Dynamical Systems, with J. Maddocks (1995), H.S. Dumas, K.R. Meyer, and D.S. Schmidt, eds., Springer-Verlag, pp. 231-264.
  

Professional Awards and Invitations

• National Science Foundation Grants

• AMS Postdoctoral Research Fellow

Students

• Paul Moses, M.S. thesis, Penn State