Publications in refereed journals

1.

``Spherically symmetric solutions of a reaction-diffusion equation'' Journal of Differential Equations, 49 (1983) 142-169

2.

``Asymptotic behavior of a reaction-diffusion equation in higher space dimensions'' Rocky Mountain Journal of Math, 13 (1983) 355-364

3.

``Characterization of bifurcation from the continuous spectrum by nodal properties'' Journal of Differential Equations, 45 (1984) 196-220 (with T.Küpper)

4.

``Stability of the travelling wave solution of the FitzHugh-Nagumo system'' Transactions of the American Mathematical Society, 286 (1984) 431- 469

5.

``On the infinitely many solutions of a semilinear elliptic equation'' SIAM Journal of Math Analysis, 17 (1986) 803-835 (with T.Küpper)

6.

``Chaos and coherent structures in partial differential equations'' Proceedings of the Symposium on Coherent Structures, Physica D, 18 (1986) 85-112 (with A.Aceves et al.)

7.

``Instability of standing waves in nonlinear optical waveguides'' Physics Letters A, 117 (1986) 175-180 (withJ.Moloney)

8.

``Instability of standing waves for nonlinear Schrödinger type equations'' Ergodic Theory and Dynamical Systems, 8 (1988) 119-138

9.

``An instability mechanism for radially symmetric standing waves of nonlinear Schrödinger equations'' Journal of Differential Equations, 17 (1988) 34-62

10.

``A shooting argument with oscillation for semilinear elliptic radially symmetric equations'' Proceedings of the Royal Society of Edinburgh, 108A (1988) 165-180 (with T.Küpper and H.Plakties)

11.

``Radial solutions of a semilinear elliptic equation at the critical exponent'' Archive for Rational Mechanics and Analysis, 104 (1988) 251-270

12.

``Jumping stable manifolds for dissipative maps of the plane'' Physica D, 35 (1988) 87-106 (with S.Hammel)

13.

``Invariant manifolds for semilinear partial differential equations'' Dynamics Reported, 2 (1989) 1-38 (with P.Bates)

14.

``Travelling waves of a perturbed diffusion equation arising in a phase field model'' Indiana University Journal of Mathematics, 30 (1989) 1198-1222 (with R.Gardner)

15.

``A topological invariant arising in the stability analysis of travelling waves'' Journal für die reine und angewandte Mathematik, 410 (1990) 167-212 (with J.Alexander and R.Gardner)

16.

``Nearly real fronts in a Ginsburg-Landau equation'' Proceedings of the Royal Society of Edinburgh, 116A (1990) 193-206 (with T.Kapitula and J.Powell)

17.

``A stability index for steady state solutions of boundary value problems for parabolic systems'' Journal of Differential Equations, 91 (1991) 181-203 (with R.Gardner)

18.

``Stability of travelling wave solutions of diffusive predator-prey systems'' Transactions of the American Mathematical Society, 377 (1991) 465-524 (with R.Gardner)

19.

``Competition between generic and non-generic fronts in envelope equations'' Physical Review A, 44 (1991) 3636-3652 (with J.Powell and A.Newell)

20.

``Tracking invariant manifolds with differential forms in singularly perturbed systems'' Journal of Differential Equations, 108 (1994) 64-88 (with N.Kopell)

21.

``A geometric proof of the Kwong-McLeod uniqueness result'' SIAM Journal of Math Analysis, 24 (1993) 436-443 (with C.Clemons)

22.

``Existence and stability of asymptotically oscillatory double pulses,'' Journal für die reine und angewandte Mathematik, 446 (1994) 49-79 (with J.Alexander)

23.

``Stability of travelling waves in non-convex scalar viscous conservation laws'' Communications in Pure and Applied Math,46 (1993) 505-526 (with R.Gardner and T.Kapitula)

24.

``Existence and stability of asymptotically oscillatory triple pulses'' ZAMP, 44 (1993) 189-200 (with J.Alexander)

25.

``Instability of quasiperiodic solutions of the Ginsburg - Landau equations'' Proceedings of the Royal Society of Edinburgh, 125A (1995) 501-517 (with A.Doelman and R.Gardner)

26.

``A mechanism for capture into resonance'' Physica D, 69 (1993) 85-106 (with T. Burns)

27.

``Tracking invariant manifolds up to exponentially small errors'' SIAM Journal of Math Analysis, 27 (1996) 558-577 (with T.Kaper and N.Kopell)

28.

``Invariant Manifolds and Singularly Perturbed Boundary Value Problems'' SIAM Journal of Numerical Analysis, 31 (1994) 1558-1576 (with S.-K.Tin and N.Kopell)

29.

``Stability of the in-phase travelling wave solution in a pair of coupld nerve fibers'' Indiana University Journal of Math, 44 (1995) 189-220 (with A.Bose)

30.

``Settling and asymptotic motion of aerosol particles in a cellular flow field'' J. Nonlinear Science, 5 (1995) 337-358 (with M.Maxey and J.Rubin)

31.

``The existence of travelling wave solutions of a generalized phase-field model'' SIAM Journal of Math Analysis, 28 (1997) 60-93 (with P.Bates, P.Fife and R.Gardner)

32.

``Stability of pulses on optical fibers with phase-sensitive amplifiers'' ZAMP, 48 (1997) 175-192 (with J.Alexander, M.Grillakis, B.Sandstede)

33.

``Existence and stability of N-pulses on optical fibers with phase-sensitive amplifiers'' Physica D, 106 (1997) 167-206 (with B.Sandstede and J.Alexander)

34.

``Phase field models for hypercooled solidification'' Physica D, 104 (1997) 1-31 (with P.Bates, P.Fife and R.Gardner)

35.

``Quantifying transport in numerically generated velocity fields'' Physica D, 110 (1997) 105-122 (with P.Miller, A.Rogerson and L.Pratt)

36.

``Existence of standing pulse solutions to an inhomogeneous reaction-diffusion equation'' Journal of Dynmaics and Differential Equations,10 (1998) 1-35 (with J.Rubin)

37.

``Bifurcations and edge oscillations in the semiconductor Fabry-Pé rot interferometer'' Optics Communications, 140 (1997) 93-98 (with J.Rubin)

38.

``Viscous perturbations of vorticity conserving flows and splitting of separatrices'' Nonlinearity, 11 (1998) 47-77(with B.Sandstede and S.Balasuriya)

39.

``The existence of travelling wave solutions of a generalized phase field model'' SIAM Journal of Math Analysis, 28 (1997) 60-93 (with P.Bates, P.Fife and R.Gardner)

40.

``Average dynamics of the optical soliton in communication lines with dispersion management: analytical results'' Phys Rev E, 58 (1998) 48-51 (with A.Aceves, S.Turitsyn and V.Zharnitsky)

41.

``Hamiltionian averaging in soliton-bearing systems with a periodically varying dispersion'' Phys Rev E, 59 (1999) 3843-3846 (with S.Turitsyn, A.Aceves and V.Zharnitsky)

42.

``Lagrangian motion and fluid exchange in a barotropic meandering jet'' Journal of Physical Oceanography, 29 (1999) 2635-2655 (with A. Rogerson, P.Miller and L.Pratt)

43.

``Bifurcation of internal solitary wave modes from the essential spectrum'' Phys Rev E, 61 (2000) 3114-3121 (with P.Kevrekidis)

44.

``Bifurcation of asymmetric solutions in nonlinear optical media'' to appear in ZAMP (with T.Küpper and K.Schaffner)

45.

``A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations'' Indiana U. Math. Journal, 49 (2000) 221-243 (with F.Geszetesy, Y.Latushkin and M.Stanislavova)

46.

``Instability of multiple pulses in coupled nonlinear Schrödinger equations'' Phys Rev E,61 (2000) 5886-5892 (with A.C.Yew and B.Sandstede)

47.

``Melnikov theory for finite-time vector fields'' Nonlinearity, 13 (2000) 1357-1377 (with B.Sandstede, S.Balasuriya and P.Miller)

48.

``Exponentially small splitting of heteroclinic orbits: from the rapidly forced pendulum to discrete solitons'' Physics Letters A, 269 (2000) 120-129 (with P.Kevrekidis and T.Kapitula)

49.

``Reconstructing basin-scale Eulerian velocity fields from simulated drifter data'' to appear in Journal of Physical Oceanography (with M.Toner, A.Poje. A.D.Kirwan Jr., B.Lipphardt and C.Grosch)

50.

``Stabilizing effects of dispersion management'' to appear in Physica D (with V.Zharnitsky, E.Grenier and S.Turitsyn)

51.

''Ground states of dispersion manged NLS'' Phys Rev E 62 (2000) 7358 (with V.Zharnitsky, E.Grenier, J.Hesthaven and S.Turitsyn)

52.

``Stability of neuronal pulses composed of two concatenated unstable kinks'' to appear in Phys Rev E (with M.Romeo)

53.

``Soliton internal modes:pure power law?'' Phys Rev E, 63 (2001) 036602 (with P.Kevrekidis and T.Kapitula)

54.

``Diffusive draining and growth of eddies'' to appear in Nonlinear Processes in Geophysics (with S.Balasuriya)

55.

``Chaotic transport of mass and potential vorticity for an island recirculation'' to appear in Journal of Physical Oceanography (with P.Miller, L.Pratt and K.Helfrich)