On a class of discretizations of Hamiltonian nonlinear partial differential equations
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[1] N. Cabrera,et al. Motion of a Frenkel-Kontorowa Dislocation in a One-Dimensional Crystal , 1965 .
[2] Jens Lothe John Price Hirth,et al. Theory of Dislocations , 1968 .
[3] Mark J. Ablowitz,et al. Nonlinear differential−difference equations , 1975 .
[4] M. Ablowitz,et al. Nonlinear differential–difference equations and Fourier analysis , 1976 .
[5] Ryogo Hirota,et al. Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation , 1977 .
[6] S. Orfanidis. Sine-Gordon equation and nonlinear σ model on a lattice , 1978 .
[7] T. Sugiyama. Kink-Antikink Collisions in the Two-Dimensional φ4 Model , 1979 .
[8] Mark J. Ablowitz,et al. Solitons and the Inverse Scattering Transform , 1981 .
[9] E. Pelinovsky,et al. Breaking of solitary and periodic nonlinear waves , 1981 .
[10] Decio Levi,et al. The inverse scattering transform for solving the discrete sine-Gordon equation , 1982 .
[11] J. Gibbon,et al. Solitons and Nonlinear Wave Equations , 1982 .
[12] S. Yip,et al. Single-kink dynamics in a one-dimensional atomic chain: A nonlinear atomistic theory and numerical simulation , 1983 .
[13] Michel Peyrard,et al. Kink dynamics in the highly discrete sine-Gordon system , 1984 .
[14] L. Fauci,et al. A computational model of aquatic animal locomotion , 1988 .
[15] T. Itoh,et al. Hamiltonian-conserving discrete canonical equations based on variational difference quotients , 1988 .
[16] A. Sievers,et al. Intrinsic localized modes in anharmonic crystals. , 1988, Physical review letters.
[17] Willis,et al. Hamiltonian equations for multiple-collective-variable theories of nonlinear Klein-Gordon equations: A projection-operator approach. , 1988, Physical review. B, Condensed matter.
[18] Bishop,et al. Statistical mechanics of a nonlinear model for DNA denaturation. , 1989, Physical review letters.
[19] Page,et al. Asymptotic solutions for localized vibrational modes in strongly anharmonic periodic systems. , 1990, Physical review. B, Condensed matter.
[20] J. Keener,et al. The effects of discrete gap junction coupling on propagation in myocardium. , 1991, Journal of theoretical biology.
[21] Thomas Erneux,et al. Propagation failure in arrays of coupled bistable chemical reactors , 1992 .
[22] Mark J. Ablowitz,et al. Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting Distances , 1993 .
[23] Igor V. Vernik,et al. Experiments with solitons in annular Josephson junctions , 1993 .
[24] R. S. Ward,et al. Kink dynamics in a novel discrete sine-Gordon system , 1994, patt-sol/9911008.
[25] W. Kath,et al. Pulse propagation in nonlinear optical fiber lines that employ phase-sensitive parametric amplifiers , 1994 .
[26] Donald Greenspan. Completely Conservative, Covariant Numerical Methodology , 1995 .
[27] Orlando,et al. Kink propagation in a highly discrete system: Observation of phase locking to linear waves. , 1995, Physical review letters.
[28] G. Quispel,et al. Solving ODEs numerically while preserving a first integral , 1996 .
[29] A. R. Humphries,et al. Dynamical Systems And Numerical Analysis , 1996 .
[30] Mark J. Ablowitz,et al. On the Numerical Solution of the Sine-Gordon Equation , 1996 .
[31] J. M. Speight. A discrete $\phi^4$ system without a Peierls - Nabarro barrier , 1997 .
[32] Y. Kivshar,et al. Kink’s internal modes in the Frenkel-Kontorova model , 1997 .
[33] S. Aubry,et al. Breathers in nonlinear lattices: existence, linear stability and quantization , 1997 .
[34] Yuri S. Kivshar,et al. Internal Modes of Solitary Waves , 1998 .
[35] J. Rinzel,et al. Propagating activity patterns in large-scale inhibitory neuronal networks. , 1998, Science.
[36] J. Pearson,et al. Fire-diffuse-fire model of dynamics of intracellular calcium waves. , 1999, Proceedings of the National Academy of Sciences of the United States of America.
[37] J. M. Speight. Topological discrete kinks , 1999 .
[38] Todd Kapitula,et al. Exponentially small splitting of heteroclinc orbits: from the rapidly forced pendulum to discrete solitons , 2000 .
[39] James P. Keener,et al. Homogenization and propagation in the bistable equation , 2000 .
[40] James P. Keener,et al. Propagation of Waves in an Excitable Medium with Discrete Release Sites , 2000, SIAM J. Appl. Math..
[41] P. Kevrekidis,et al. Dynamics of lattice kinks , 2000, nlin/0003006.
[42] R. Shapley,et al. A neuronal network model of macaque primary visual cortex (V1): orientation selectivity and dynamics in the input layer 4Calpha. , 2000, Proceedings of the National Academy of Sciences of the United States of America.
[43] P. Kevrekidis,et al. Bifurcation of internal solitary wave modes from the essential spectrum , 2000 .
[44] P. Kevrekidis,et al. Stability of waves in discrete systems , 2001 .
[45] Panayotis G. Kevrekidis,et al. Integrability revisited: a necessary condition , 2001 .
[46] P. Kevrekidis,et al. Soliton internal mode bifurcations: pure power law? , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[47] A. R. Bishop,et al. Propagation failure, universal scalings and Goldstone modes , 2001 .
[48] C. Sulem,et al. The nonlinear Schrödinger equation : self-focusing and wave collapse , 2004 .