Asymmetric intrinsic localized modes in a homogeneous lattice with cubic and quartic anharmonicity

Guoxiang Huang; Zhu-Pei Shi; Zaixin Xu

doi:10.1103/PhysRevB.47.14561

Asymmetric intrinsic localized modes in a homogeneous lattice with cubic and quartic anharmonicity

Guoxiang Huang, Zhu-Pei Shi, and Zaixin Xu

Phys. Rev. B 47, 14561 – Published 1 June 1993

Abstract

The intrinsic localized modes in a homogeneous nonlinear one-dimensional lattice are investigated by use of the method of multiple scales combined with a quasidiscreteness approximation. It is shown that, in the presence of cubic anharmonicity, some asymmetric intrinsic localized modes with zero-group velocity can exist in the lattice and that the eigenfrequencies of these localized modes are above the top of the harmonic frequency band.

Received 17 November 1992

DOI:https://doi.org/10.1103/PhysRevB.47.14561

Authors & Affiliations

Guoxiang Huang

China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China
International Center for Materials Physics, Academia Sinica, Shenyang 110015, China
Department of Physics, East China Normal University, Shanghai 200062, China

Zhu-Pei Shi