Daniel Ratliff

VC Fellow

Publications

  1. 2020
  2. Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems

    Castelino, J. K., Ratliff, D. J., Rucklidge, A. M., Subramanian, P. & Topaz, C. M., 1 Aug 2020, In: Physica D: Nonlinear Phenomena. 409, 132475.

    Research output: Contribution to journalArticlepeer-review

  3. 2019
  4. Which Wave Numbers Determine the Thermodynamic Stability of Soft Matter Quasicrystals?

    Ratliff, D. J., Archer, A. J., Subramanian, P. & Rucklidge, A. M., 4 Oct 2019, In: Physical Review Letters. 123, 14, 148004.

    Research output: Contribution to journalArticlepeer-review

  5. Deriving phase field crystal theory from dynamical density functional theory: Consequences of the approximations

    Archer, A. J., Ratliff, D. J., Rucklidge, A. M. & Subramanian, P., 28 Aug 2019, In: Physical Review E. 100, 2, 28 p., 022140.

    Research output: Contribution to journalArticlepeer-review

  6. Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”

    Bridges, T. J. & Ratliff, D. J., 1 Apr 2019, In: Studies in Applied Mathematics. 142, 3, p. 314-335 22 p.

    Research output: Contribution to journalArticlepeer-review

  7. Dispersive dynamics in the characteristic moving frame

    Ratliff, D. J., 29 Mar 2019, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 475, 2223, 14 p., 20180784.

    Research output: Contribution to journalArticlepeer-review

  8. 2018
  9. The Modulation of Multiple Phases Leading to the Modified Korteweg-de Vries Equation

    Ratliff, D. J., 27 Sep 2018, In: Chaos. 28, 9, 15 p., 093117.

    Research output: Contribution to journalArticlepeer-review

  10. Reduction to modified KdV and its KP-like generalization via phase modulation

    Ratliff, D. J. & Bridges, T. J., 9 Jul 2018, In: Nonlinearity. 31, 8, p. 3794-3813 20 p.

    Research output: Contribution to journalArticlepeer-review

  11. 2017
  12. On the reduction of coupled NLS equations to non-linear phase equations via modulation of a two-phase wavetrain

    Ratliff, D. J., 1 Dec 2017, In: IMA Journal of Applied Mathematics. 82, 6, p. 1151-1170 20 p.

    Research output: Contribution to journalArticlepeer-review

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