Transverse instability of nonlinear longitudinal waves in hexagonal lattices

Proceedings of the Estonian Academy of Sciences

Igor Andrianov¹  Alexey Porubov¹  Berndt Markert¹ 

[1] $$

关键词: nonlinear hexagonal lattice;    continuum limit;    nonlinear differential equation;    asymptotic solution;   

DOI  :  10.3176/proc.2015.3S.04

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

Various continuum limits of the original discrete hexagonal lattice model are used to obtain transverse weakly nonlinear equations for longitudinal waves. It is shown, that the long wavelength continuum limit gives rise to the Kadomtsev–Petviashvili equation, while another continuum limit results in obtaining two-dimensional generalization of the nonlinear Schrödinger equation.

【 授权许可】

Unknown