Teaching Interests: Professor Carter's teaching interest includes Differential Equations, Calculus, and courses with significant applied mathematics content.

Research Interests: Working with a team of outstanding undergraduates and colleagues from around the world, Dr. Carter studies how waves propagate in the deep ocean and how tsunamis evolve as they approach a coastline. This area is especially exciting right now due to the immense current interest generated by the recent tsunamis.

Recent Publications

J.D. Carter. Plane wave solutions of a dissipative generalization of the vector nonlinear Schrodinger equation. Mathematics and Computers in Simulation, 82:1038-1046, 2012.

J.D. Carter. A Review of Mathematica: A Problem-Centered Approach. SIAM Review, 53: 583-585, 2011.

J.D. Carter and R. Cienfuegos. The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations. European Journal of Mechanics B: Fluids, 30: 259-268, 2011.

D.M. Henderson, H. Segur and J.D. Carter. Experimental evidence of stable wave patterns on deep water. Journal of Fluid Mechanics, 658, 247-278, 2010.

J.D. Carter and C.C. Contreras. Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrodinger equation. Physica D, 237: 3292-3296, 2008.