Some Breathers and Multi-breathers for FPU-Type Chains

  • Gianni ArioliEmail author
  • Hans Koch


We consider several breather solutions for FPU-type chains that have been found numerically. Using computer-assisted techniques, we prove that there exist true solutions nearby, and in some cases, we determine whether or not the solution is spectrally stable. Symmetry properties are considered as well. In addition, we construct solutions that are close to (possibly infinite) sums of breather solutions.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsPolitecnico di MilanoMilanItaly
  2. 2.Department of MathematicsThe University of Texas at AustinAustinUSA

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