gradient
   
gradient
     



List of peer-reviewed journal articles

 

  • K. Mallory and R. A. Van Gorder, Stationary solutions for the 1+1 nonlinear Schrödinger equation modeling repulsive Bose-Einstein condensates in small potentials, Physical Review E 88 (2013) 013205 (12pp).
  • K. Mallory and R. A. Van Gorder, Control of error in the homotopy analysis solutions to the Zakharov system with dissipation, Numerical Algorithms 64 (2013) 633-657.
  • K. Mallory and R. A. Van Gorder, A transformed time-dependent Michaelis-Menten enzymatic reaction model and its asymptotic stability, Journal of Mathematical Chemistry 52 (2014) 222-230.
  • K. Mallory, R. A. Van Gorder and K. Vajravelu, Several classes of exact solutions to the 1+1 Born-Infeld equation, Communications in Nonlinear Science and Numerical Simulation 19 (2014) 1669-1674.
  • K. Mallory and R. A. Van Gorder, Method for constructing analytical solutions to the Dym initial value problem, Applied Mathematics and Computation 226 (2014) 67-82.
  • K. Mallory and R. A. Van Gorder, Stationary solutions for the 1+1 nonlinear Schrödinger equation modeling attractive Bose-Einstein condensates in small potentials, Physical Review E 89 (2014) 013204 (11pp).
  • K. Mallory and R. A. Van Gorder, Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation, Numerical Algorithms, 66 (2014) 843-863.
  • K. Mallory and R. A. Van Gorder, Stationary solutions for the 2+1 nonlinear Schrödinger equation modeling Bose-Einstein condensates in radial potentials, Physical Review E 90 (2014) 023201 (16pp).
  • R. Li, R. A. Van Gorder, K. Mallory and K. Vajravelu, Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model, Journal of Mathematical Chemistry 52 (2014) 2494-2506.
  • K. Mallory and R. A. Van Gorder, Competitive modes for the detection of chaotic parameter regimes in the general chaotic bilinear system of Lorenz type, International Journal of Bifurcation and Chaos 25 (2015) 1530012 (32pp).
  • K. Mallory and R. A. Van Gorder, Stationary solutions for the nonlinear Schrödinger equation modeling three-dimensional radial Bose-Einstein condensates in general potentials, Physical Review E 92 (2015) 013201 (21pp).
  • R. A. Van Gorder, K. Makowski, K. Mallory and K. Vajravelu, Self-similar solutions for the nonlinear dispersion of a pollutant into a river flow, Journal of Mathematical Chemistry, accepted (2015).