In this paper we present numerical calculations of intrinsic localized modes of a monoatomic one-dimensional chain with free ends and quartic anharmonicity. We study in particular the case of even and odd parity modes in presence of an inhomogeneity in the quartic force constants located in the center of the chain to preserve the symmetry of the solutions. In the limit of low anharmonicity we study also the analytical solutions of the Non Linear Schreodinger equation that we obtain from the continuum approximation of the equations of motion.
Inhomogeneous one-dimensional anharmonic chains / Franchini, Anna; Bortolani, Virginio; Corsini, F.; Wallis, R. F.. - STAMPA. - 48:(1995), pp. 85-92. (Intervento presentato al convegno National Workshop on Nonlinear Dynamics tenutosi a Pavullo nel frignano (Italia) nel 19 maggio - 22 maggio 1994).
Inhomogeneous one-dimensional anharmonic chains
FRANCHINI, Anna;BORTOLANI, Virginio;
1995
Abstract
In this paper we present numerical calculations of intrinsic localized modes of a monoatomic one-dimensional chain with free ends and quartic anharmonicity. We study in particular the case of even and odd parity modes in presence of an inhomogeneity in the quartic force constants located in the center of the chain to preserve the symmetry of the solutions. In the limit of low anharmonicity we study also the analytical solutions of the Non Linear Schreodinger equation that we obtain from the continuum approximation of the equations of motion.
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