Approximations of nonlinear waves in lattices



Regular articles:
abstract download D.E. Pelinovsky, On the linearized log-KdV equation, Communications in Mathematical Sciences 15, 863-880 (2017)
abstract download A. Khan and D. Pelinovsky, Long-time stability of small FPU solitary waves, Discrete Continuous Dynamical Systems Series A 37, 2065-2075 (2017)
abstract download D.E. Pelinovsky, T. Penati, and S. Paleari, Approximation of small-amplitude weakly coupled oscillators by discrete nonlinear Schrdoinger equations, Review in Mathematical Physics 28, 1650015 (25 pages) (2016)
abstract download E. Dumas and D.E. Pelinovsky, Justification of the log-KdV equation in granular chains: the case of precompression, SIAM J. Math. Anal. 46, 4075-4103 (2014)
abstract download R. Carles and D.E. Pelinovsky, On the orbital stability of Gaussian solitary waves in the log-KdV equation, Nonlinearity 27, 3185-3202 (2014)
abstract download G. James and D.E. Pelinovsky, Gaussian solitary waves and compactons in FPU lattices with Hertzian potentials, Proceedings of Royal Society A 470, 20130465 (20 pages) (2014)
abstract download M. Betti and D.E. Pelinovsky, Periodic travelling waves in dimer granular chains, Journal of Nonlinear Science 23, 689-711 (2013)
abstract download G. James and D. Pelinovsky, Breather continuation from infinity in nonlinear oscillator chains, Discrete and Continuous Dynamical Systems A 32, 1775-1799 (2012)