John Carter

Summer and Fall 2008 (On sabbatical)

I am organizing a session and will speak at the SIAM Conference on Nonlinear Waves and Coherent Structures, Universita di Roma, "La Sapienza," Rome, Italy, July 18-24, 2008.

I will teach an advanced course in mathematical models of water waves for the Departamento de Ingeniería Hidráulica y Ambiental at the Pontificia Universidad Católica de Chile, August-December 2008.

Please contact me by e-mail carterj1@seattleu.edu or troublefan@gmail.com.

Educational Background

Ph.D. in  Applied Mathematics , University of Colorado at Boulder, 2001

M.S. in  Applied Mathematics, University of Colorado at Boulder, 1997

Graduate  Semester in the Southwest, National Outdoor Leadership School, 1994

B.S. in  Mathematics, University of Puget Sound, 1994

Recent Professional Presentations

• "Stability of plane-wave solutions to a dissipative generalization of the nonlinear Schrodinger equation,"   Nonlinear Waves--Theory and Applications,   June 2008.

• " Stability of nontrivial-phase solutions of higher-order generalizations of the cubic nonlinear Schrodinger equation ,"   Nonlinear Waves--Theory and Applications,   June 2008.

• "How can mathematics help us understand tsunamis, rogue waves and other wave phenomena?," (animations disabled)   Seattle University,   October 2007.

Professional Publications

13. J.D. Carter and C.C. Contreras. Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrodinger equation. Resubmitted to Physica D, 2008.   .pdf

12. J.D. Carter. A Review of Maple and Mathematica: A Problem Solving Approach. To appear in SIAM Review, 2008.   .pdf
11. J.D. Carter. A Review of Mathematica 6. SIAM Review, 50: 149-152, 2008.   .pdf
10. B. Deconinck, F. Kiyak and J.D. Carter. SpectrUW version 2.0, April 2007.   Download SpectrUW.
9. N. Canney and J.D. Carter. Stability of plane waves on deep water with dissipation. Mathematics and Computers in Simulation, 74: 159-167, 2007.   .pdf
8. B. Deconinck, F. Kiyak, J.D. Carter and J.N. Kutz. SpectrUW: a laboratory for the numerical exploration of spectra of linear operators.Mathematics and Computers in Simulation, 74: 370-378, 2007.   .pdf
7. J.D. Carter and B. Deconinck. Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrodinger equation. Physica D, 214: 42-54, 2006.   .pdf
6. B. Deconinck, D.E. Pelinovsky and J.D. Carter. Transverse instabilities of deep-water solitary waves. Proceedings of the Royal Society A, 462: 2039-2061, 2006.   .pdf
5. R.J. Thelwell, J.D. Carter and B. Deconinck. Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrodinger equation. J. Phys. A: Math. Gen. 39: 73-84, 2006.   .pdf
4. H. Segur, D. Henderson, J.D. Carter, J. Hammack, C. Li, D. Pheiff and K. Socha. Stabilizing the Benjamin-Feir instability. Journal of Fluid Mechanics, 539: 229-271, 2005.   .pdf
3. J.D. Carter. A Review of Mathematica 5.0. SIAM Review, 46: 564-568, 2004.   .pdf
2. J.D. Carter and H. Segur. Instabilities in the two-dimensional cubic nonlinear Schrodinger equation. Physics Review E, 68: 045601, 2003.   .pdf
1. J.D. Carter (Ph.D. thesis). Stability and existence of traveling-wave solutions of the two-dimensional nonlinear Schrodinger equation and its higher-order generalizations. University of Colorado at Boulder, 2001.   .pdf

Albums Everyone Should Own

Links of Personal Interest

           WA river levels

           Metal news

           The Onion

           KSUB

           Radio 1190