RESEARCH INFORMATION:
J. Douglas Wright
Associate Professor/Associate Department Head
Department of Mathematics
Drexel University
Curriculum Vitae
REFEREED PUBLICATIONS:

A. Hoffman & J. Wright. "Nanopteron solutions of diatomic FermiPastaUlamTsingou lattices
with small massratio"
Accepted by Physica D in 2017.[arXiv]

T. Faver & J. Wright. "Exact diatomic FermiPastaUlamTsingou
solitary waves with optical band ripples at infinity"
Accepted (subject to revisions) by SIAM Journal on Mathematical Analysis in 2016.
[arXiv]

G. Medvedev & J. Wright. "Stability of twisted states in the continuum
Kuramoto model"
SIAM Journal of Applied Dynamical Systems, v. 1, 188203 (2017).
[SIADS]

D. Ambrose & J. Wright. "Nonexistence of small doubly periodic
solutions for dispersive equations"
Analysis & PDE, v. 9, 1542 (2016).
[A&PDE]

B. Akers, D. Ambrose, K. Pond, & J. Wright. "Overturned internal
capillarygravity waves"
Eur. J. Mech. B Fluids, v. 57, 143151 (2016).
[EJMBF]

A. Vainchtein, Y. Starosvetsky, J. Wright & R. Perline. "Solitary
waves in diatomic chains"
Physical Review E, v. 93, 042210 (2016).
[PRE]

D. Ambrose, W. Strauss & J. Wright. "Global bifurcation theory for
periodic traveling interfacial gravitycapillary waves"
Ann. Inst. H. Poincare Anal. Non Lineaire, v. 33, 10811101 (2016).
[AIHPCNLA]
 D. Ambrose & J. Wright. "Nonexistence of
smallamplitude doubly periodic waves for dispersive equations"
C. R. Math. Acad. Sci. Paris, v. 352, 597602 (2014).
[CRMASP]
 J. Gaison, S. Moskow, J. Wright and Q. Zhang. "Approximation of polyatomic FPU lattices by KdV equations"
Multiscale Modeling & Simulation, v. 12, no. 3, 953995
(2014).
[MMS]

B. Akers, D. Ambrose & J. Wright. "Gravity perturbed Crapper waves"
Proceedings of the Royal Society A, v. 470, no. 2161, 20130526 (2014).
[PROCRSOCA]
 R. Hicks, S. Rody & J. Wright. "Bundle separation, obstructions to perfect imaging and other qualitative aspects of simultaneous multiple surface design"
Optical Engineering, v. 53, no. 3, 031309 (2013).
[OE]
 B. Akers, D. Ambrose & J. Wright. "Traveling waves from the arclength parameterization: vortex sheets with surface tension"
Interfaces and Free Boundaries, v. 15, no. 3, 359380 (2013).
[IFB]
 D. Ambrose & J. Wright. "Dispersion vs. antidiffusion: wellposedness
in variable coefficient and quasilinear equations of KdVtype"
Indiana University Mathematics Journal, v. 62, no. 4, 12371281 (2013).
[IUMJ]

D. Ambrose & J. Wright.
"Traveling waves and weak solutions for an equation with degenerate dispersion"
Proceedings of the American Mathematical Society, v. 141, 38253838 (2013).
[PROCAMERMATHSOC]

R. Chen, J. Marzuola, D. Spirn & J. Wright.
"On the regularity of the flow map for the gravitycapillary equations"
Journal of Functional Analysis, v. 264, 752782 (2013).
[JFA]

J. Wright. "On the spectrum of the superposition of separated potentials"
DCDSB, v. 18, no.1, 273281 (2013).
[DCDSB]

D. Ambrose, G. Simpson, J. Wright & D. Yang. "Illposedness of degenerate dispersive equations"
Nonlinearity, v. 25, 26552689 (2012).
[Nonlinearity]
 D. Spirn & J. Wright.
"Linear dispersive decay estimates
for the 3+1 dimensional water wave equation with surface
tension"
Canadian Mathematical Bulletin, v. 55, no. 1, 176187 (2012).
[CMB]

A. Hoffman & J. Wright. "Exit manifolds for lattice differential equations"
Proceedings of the Royal Society Edinburgh: Section A, v. 140, no. 1,
7792 (2011).
[PROCA]

D. Ambrose & J. Wright.
"Preservation of support and positivity for solutions of
degenerate evolution equations"
Nonlinearity, v. 23, 607620 (2010).
[Nonlinearity]

J. Wright.
"Interactions manifolds for reactiondiffusion equations in two dimensions"
SIAM Journal of Applied Dynamical Systems. v. 9, 734768 (2010).
[SIADS]

J. Wright. "Separating dissipative pulsesthe exit manifold"
Journal of Dynamics and Differential Equations, v. 21, no. 2, 315328 (2009).
[JDDE]

D. Spirn & J. Wright.
"Linear dispersive decay estimates for vortex sheets with surface tension"
Communications in Mathematical Sciences, v. 7, no. 3, 521547 (2009).
[CMS]

A. Scheel & J. Wright.
"Colliding dissipative pulsesthe shooting manifold"
Journal of Differential Equations, v. 245, no. 1, 5979 (2008).
[JDE]

J. Wright & A. Scheel.
"Solitary waves and their linear stability in weakly coupled KdV equations"
ZAMP, v. 58, no. 4, 535570 (2007).
[ZAMP]

J. Colliander, S. Raynor, C. Sulem & J. Wright.
"Ground state mass concentration in the L^{2} critical nonlinear Schrodinger
equation below H^{1}"
Mathematical Research Letters, v. 12, no. 23, 357375 (2005).
[MRL]

J. Wright.
"Corrections to the KdV approximation for water waves"
SIAM Journal on Mathematical Analysis, v. 37, no. 4, 11611206 (2005).
[SIMA]

C. Wayne & J. Wright.
"Higher order modulation equations for a Boussinesq equation"
SIAM Journal of Applied Dynamical Systems, v. 1, 271302 (2002).
[SIADS]
THESIS:
 "Corrections to the KdV approximation for water waves." [thesis]
The National Science Foundation has generously funded my research
with the following grants:

J. Wright (PI). "Wave propagation in heterogeneous nonlinear
dispersive systems"
NSF DMS 1511488. 9/158/18.

J. Wright (PI). "Degenerate dispersive effects in partial and lattice differential equations"
NSF DMS1105635.
9/118/15.

R. Hicks (PI) & J. Wright (CoPI). "Distributions for optical design"
NSF DMS0908299.
7/096/13.

J. Wright (PI). "Dynamics and interactions of free fluid interfaces"
NSF DMS0807738.
9/088/12.