Low-Frequency and High-Frequency Moving Anharmonic Localized Modes in a One-Dimensional Lattice with Quartic Anharmonicity
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The existence of two branches of moving anharmonic localized modes is shown fora one-dimensional (10) lattice w'ith hard quartic anharmonicity. By tlte use of a pairof exactly solvable model nonlinear lattice equations as a reference system, approx-imate analytical expressions for envelope functions, the eigenfrequencies and thevelocities of low- and high-frequently modes are obtained for eacla of envelope-kinklike modes and envelope-solitonlilce modes. Tlte approximate axxalytical resultsare tested by numerical experiments to e;how that these two branches of the modes arerobust against generation at initial stages of ripples, eventually preserving their ownprofiles as time evolves.
- Journal of the Physical Society of Japan
Journal of the Physical Society of Japan 61(12), p4263-4266, 1992-12
The Physical Society of Japan (JPS)