Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity
暂无分享,去创建一个
[1] L. Kalyakin. ASYMPTOTIC DECAY OF A ONE-DIMENSIONAL WAVE PACKET IN A NONLINEAR DISPERSIVE MEDIUM , 1988 .
[2] Guido Schneider,et al. The validity of modulation equations for extended systems with cubic nonlinearities , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[3] G. Schneider,et al. Justification of the NLS approximation for a quasilinear water wave model , 2011 .
[4] G. Schneider. Bounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system , 2010 .
[5] Guido Schneider,et al. Justification of modulation equations for hyperbolic systems via normal forms , 1998 .
[6] A. Mielke,et al. DISPERSIVE EVOLUTION OF PULSES IN OSCILLATOR CHAINS WITH GENERAL INTERACTION POTENTIALS , 2006 .
[7] Ernst Hairer,et al. Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations , 2008, Numerische Mathematik.
[8] Sijue Wu,et al. A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem , 2011, Communications in Mathematical Physics.
[9] G. Schneider. Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation , 2011 .
[10] G. Schneider. Justification and failure of the nonlinear Schrödinger equation in case of non-trivial quadratic resonances , 2005 .
[11] B. Herbst,et al. Split-step methods for the solution of the nonlinear Schro¨dinger equation , 1986 .