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- W2907210005 abstract "The paper is devoted to traveling waves in FPU type particle chains assuming that each particle interacts with several neighbors on both sides. Making use of variational techniques, we prove that under natural assumptions there exist monotone traveling waves with periodic velocity profile (periodic waves) as well as waves with localized velocity profile (solitary waves). In fact, we obtain periodic waves by means of a suitable version of the Mountain Pass Theorem. Then we get solitary waves in the long wave length limit." @default.
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- W2907210005 date "2019-01-01" @default.
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- W2907210005 title "Traveling waves in Fermi-Pasta-Ulam chains with nonlocal interaction" @default.
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- W2907210005 doi "https://doi.org/10.3934/dcdss.2019135" @default.
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