Multibreather stability in discrete Klein–Gordon equations: Beyond nearest neighbor interactions |
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Authors: | Zoi Rapti |
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Institution: | Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, USA |
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Abstract: | We present results on multibreather stability in one-dimensional nonlinear Klein–Gordon chains. Our analysis is based on Aubry?s band theory and perturbation theory. First, we provide an alternative proof of the stability of multibreathers in a chain with nearest neighbor interactions only. Then, we extend our analysis to the case of interactions with up to three neighbors. For next-nearest neighbor and third-nearest neighbor interactions we also extend the theory to study the stability properties of recently found multibreathers that have nonstandard phase shifts (not equal to 0 or π). |
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Keywords: | Multibreathers Discrete Klein–Gordon equations Stability |
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