Dmitry Pelinovsky, Guido Schneider, “Rigorous justification of the short-pulse equation”, Nonlinear Differ. Equ. Appl, 2012
Schneider G., Wayne C.E., “Justification of the NLS Approximation for a Quasilinear Water Wave Model”, J. Differ. Equ., 251:2 (2011), 238–269
Schneider G., “Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation”, Adv. Math. Phys., 2011, 854719
Guido Schneider, “Bounds for the nonlinear Schrodinger approximation of the Fermi-Pasta-Ulam system”, GAPA, 89:9 (2010), 1523
Wolf-Patrick Düll, Guido Schneider, “Validity of Whitham’s Equations for the Modulation of Periodic Traveling Waves in the NLS Equation”, J Nonlinear Sci, 2009
A. Babin, A. Figotin, “Wavepacket Preservation Under Nonlinear Evolution”, Comm Math Phys, 278:2 (2008), 329
M. D. Groves, G. Schneider, “Modulating Pulse Solutions to Quadratic Quasilinear Wave Equations over Exponentially Long Length Scales”, Commun. Math. Phys., 278:3 (2008), 567
Anatoli Babin, Alexander Figotin, International Mathematical Series, 6, Instability in Models Connected with Fluid Flows I, 2008, 53
Martina Chirilus-Bruckner, Guido Schneider, Hannes Uecker, “On the interaction of NLS-described modulating pulses with different carrier waves”, Math Meth Appl Sci, 30:15 (2007), 1965
Wolf-Patrick Düll, “The validity of phase diffusion equations and of Cahn–Hilliard equations for the modulation of pattern in reaction–diffusion systems”, Journal of Differential Equations, 239:1 (2007), 72