Mac Hyman's Selected Papers

Mathematical Physics and Soliton Dynamics

On Multi-dimensional Compactons,   P. Rosenau, J. M. Hyman and M. Staley, Physical Review Letters volume 98 issue 2, page 24101 (2007). The movies illustrating the calculations contained in this paper are located at the web site

Being sensitive to uncertainty , with L. Arriola; Computing in Science and Engineering; v.9, no.2, p.10-20 (2007).

A numerical study of the exact evolution equations for surface waves in water of finite depth,   Y. A. Li, J. M. Hyman, and W. Choi, Studies in Applied Math, Oct 2004, v.113, no.3, p.303-324

Validity of Asymptotic Models for Water Waves,   Y. A. Li, J. M. Hyman, and W. Choi, Los Alamos Report, (2001)

Compacton Solutions in a Class of Generalized Fifth Order Korteweg-de Vries Equations,   Fred Cooper, James M. Hyman, and Avinash Khare, Phys. Rev. E 64, (2001) Los Alamos Report (ps)

Stability, Relaxation, and Oscillation of Biodegradation Fronts,   James M. Hyman and Jack X. Xin, SIAM J. Appl. Math, v. 61(#2) pp. 472-505 (2000), Los Alamos Report (1998), (ps)

Energy stability bounds on convective heat transport: Numerical study,   Charles R. Doering and James M. Hyman, Physical Review E, 55 (1997) pp. 7775-7778, (pdf) Los Alamos Report (ps)

Dynamical Evolution of Planetesimals in the Outer Solar System. I. The Jupiter/Saturn Zone,   K. R. Grazier, W. I. Newman, W. M. Kaula, and J. M. Hyman, ICARUS 140, pp. 341-352, (1999), (pdf)

Dynamical Evolution of Planetesimals in the Outer Solar System. II. The Saturn/Uranus and Uranus/Neptune Zone,   K. R. Grazier, W. I. Newman, W. M. Kaula, and J. M. Hyman, ICARUS 140, pp. 353-368, (1999), (pdf)

Pulsating Multiplet Solutions of Quintic Wave Equations,   James M. Hyman and Phillip Rosenau, Physica D, v. 123(#1-4) pp. 502-512, (1998)Los Alamos Report (ps)

Nonlinear Waves and Solitons in Physical Systems,   R. Camassa, J. M. Hyman, and B. Luce, Physica D 123 no. 1-4, (1998) 1-20 Los Alamos Report (ps)

A New Integrable Shallow Water Equation,   R. Camassa, D. Holm, and J. M. Hyman, Advances in Applied Mechanics, Vol. 30, pp. 1-33 (1994)

Compactons: Solitons with Finite Wavelength,   James M. Hyman and Phillip Rosenau, Phys. Rev. Letters, v. 70(#5) pp. 564-567, (1993)

A Shock Wave Driven by a Phased Implosion, with R. Menikoff, S. A. Colgate, N. L. Johnson, K. Lackner.and G. Miranda, Phys. Fluids A, 3 (1), (1991), pp. 201-218.

Coherence and Chaos in the Kuramoto-Velarde Equation,   James M. Hyman and B. Nicolaenko, Directions in Partial Differential Equations, E. M. Crandall, P. Rabinowitz and R. Turner, Eds., Academic Press (1987), pp. 89-111

Evolution of Solidification Front of a Dilute Binary Alloy: A New Asymptotic Approach,   J. M. Hyman, A. Novick-Cohen and P. Rosenau, Phys. Rev. < B>B, 37, No. 13 (1988), pp. 7603-7608.

On the Quasi-continuous Approximation of the Toda Lattice, with P. Rosenau, Physics Letters A, 124 (1987), pp. 287-289.

Plasma Diffusion Across a Magnetic Field, with P.Rosenau, Physica 20D (1986) pp. 444-446.

On Davydov's alpha-Helix Solitons, with D.W. McLaughlin and A.C. Scott, Long-Time Prediction in Dynamics, edited by C.W. Horton, Jr., et al, John Wiley & Sons (1983), pp. 367-394

Almost Periodic Solutions of the KdV Equation, with P.D. Lax, SIAM Review, vol. 18, no. 3, (1976), pp. 351-375

Link to other publications: