Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-06-25
Physics
Condensed Matter
Statistical Mechanics
Submitted to PRE
Scientific paper
10.1103/PhysRevE.64.056619
The equations governing weakly nonlinear modulations of $N$-dimensional lattices are considered using a quasi-discrete multiple-scale approach. It is found that the evolution of a short wave packet for a lattice system with cubic and quartic interatomic potentials is governed by generalized Davey-Stewartson (GDS) equations, which include mean motion induced by the oscillatory wave packet through cubic interatomic interaction. The GDS equations derived here are more general than those known in the theory of water waves because of the anisotropy inherent in lattices. Generalized Kadomtsev-Petviashvili equations describing the evolution of long wavelength acoustic modes in two and three dimensional lattices are also presented. Then the modulational instability of a $N$-dimensional Stokes lattice wave is discussed based on the $N$-dimensional GDS equations obtained. Finally, the one- and two-soliton solutions of two-dimensional GDS equations are provided by means of Hirota's bilinear transformation method.
Hu Beilai
Huang Guoxiang
Konotop Vladimir V.
Tam Hon-Wah
No associations
LandOfFree
Nonlinear Modulation of Multi-Dimensional Lattice Waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear Modulation of Multi-Dimensional Lattice Waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Modulation of Multi-Dimensional Lattice Waves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-193925