On exponential decay of solitary traveling wave solutions to the Fermi–Pasta–Ulam-type systems on 2D lattice
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Bak, S.
Kovtoniuk, H.
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Abstract
We consider a traveling wave solutions to the Fermi-Pasta-Ulam-type systems that describe the dynamics of an infinite systems of nonlinearly coupled identical particles on a two dimensional lattice. By the Paley-Wiener Theorem, the exponential estimate for the profiles of such solutions is obtained.
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Bak S. M., Kovtoniuk H.M. On exponential decay of solitary traveling wave solutions to the Fermi–Pasta–Ulam-type systems on 2D lattice. Abstracts of Scientific Conference «Differential Equations and Data Analysis» (May 8-9, 2025, Lviv, Ukraine): book of abstracts. 2025. P. 13.