Waves in three-dimensional simple cubic lattice

Xiao-yun Wang, Wen-shan Duan, Mai-mai Lin and Gui-xin Wan

Chaos, Solitons & Fractals, 2006, vol. 30, issue 4, 909-919

Abstract: Linear and nonlinear vibrations of particles in a three-dimensional (3D) simple cubic lattice are investigated in this paper. The linear wave equations are derived and the dispersion relations of both longitudinal and transverse waves in the different directions are given analytically. Furthermore, the nonlinear waves in this lattice have also been studied. Solitary waves in several special directions have been investigated as well.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:4:p:909-919

DOI: 10.1016/j.chaos.2005.08.193

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