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math.DS2019
Traveling wave solutions for the FPU chain: a constructive approach
Gianni Arioli, Hans Koch
Traveling waves for the FPU chain are constructed by solving the associated equation for the spatial profile of the wave. We consider solutions whose derivatives need not…
math.DS2018
Some breathers and multi-breathers for FPU-type chains
Gianni Arioli, 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, an…