The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities
- 19 December 2003
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 17 (2) , 551-565
- https://doi.org/10.1088/0951-7715/17/2/011
Abstract
No abstract availableKeywords
This publication has 21 references indexed in Scilit:
- Solitary waves on FPU lattices: II. Linear implies nonlinear stabilityNonlinearity, 2002
- Travelling waves in the Fermi-Pasta-Ulam latticeNonlinearity, 2000
- Cold, thermal and oscillator closure of the atomic chainJournal of Physics A: General Physics, 2000
- Cold, thermal and oscillator closure of the atomic chainJournal of Physics A: General Physics, 2000
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limitNonlinearity, 1999
- Forced lattice vibrations: Part IICommunications on Pure and Applied Mathematics, 1995
- Forced lattice vibrations: Part ICommunications on Pure and Applied Mathematics, 1995
- Existence theorem for solitary waves on latticesCommunications in Mathematical Physics, 1994
- The validity of modulation equations for extended systems with cubic nonlinearitiesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1992
- Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systemsRussian Mathematical Surveys, 1989