Focus of Research:

Publications:

1. Russell K. Jackson, "Multiple pulses in nonlinear optical systems", PhD thesis (2003).
   • postscript (.ps) version.
   • Adobe Acrobat (.pdf) version.
   • softcover or hardcover version.
   
   
2. Russell K. Jackson, Christopher K.R.T. Jones and Vadim Zharnitsky, "Dispersion-managed solitons via an averaged variational principle", Physica D 190 (2004), 63-77.
   • available online.
   
   
3. Russell K. Jackson and Michael I. Weinstein, "Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation", J. Statist. Phys. 116 (2004), 881-905.
   • available online.
   
   
4. David J. Pinto, Russell K. Jackson and C. Eugene Wayne, "Existence and stability of traveling pulses in a continuous neuronal network", accepted with minor revisions in SIAM J. Appl. Dyn Syst.
   • download preprint  (.pdf  480110 bytes).
   
   
5. Russell K. Jackson, "A homoclinic flip bifurcation in nonlinearly coupled Schrodinger equations", preprint.
   • download preprint  (.pdf  706175 bytes).
   
   
6. Russell K. Jackson and Christopher K. R. T. Jones, "Symmetry breaking and instability in nonlinearly coupled Schrodinger equations", preprint.
   • download preprint  (.pdf  919310 bytes).