• Corpus ID: 248562891

Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation

@inproceedings{Deng2022ExponentialAO,
  title={Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation},
  author={Guo Deng and Christopher J. Lustri},
  year={2022}
}
Travelling waves in woodpile chains are typically nanoptera, which are composed of a central solitary wave and exponentially small oscillations. These oscillations have been studied using exponential asymptotic methods, which typically require an explicit form for the leading-order behaviour. For many nonlinear systems, such as granular woodpile chains, it is not possible to calculate the leading-order solution explicitly. We show that accurate asymptotic approximations can be obtained using… 

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