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<p>The article deals with the Fermi–Pasta–Ulam-type systems that describe infinite systems of nonlinearly coupled identical particles on two-dimensional lattices. It is assumed that every particle interacts nonlinearly with its four nearest neighbors. The main result concerns the exponential localization of solitary traveling-waves solutions in such systems. Using the Paley–Wiener theorem, the exponential estimate for the profiles of such solutions has been obtained.</p>

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Exponential decay of solitary traveling-wave solutions to the Fermi–Pasta–Ulam-type systems on 2D lattices

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • Serhii M. Bak,
  • Halyna M. Kovtoniuk

摘要

The article deals with the Fermi–Pasta–Ulam-type systems that describe infinite systems of nonlinearly coupled identical particles on two-dimensional lattices. It is assumed that every particle interacts nonlinearly with its four nearest neighbors. The main result concerns the exponential localization of solitary traveling-waves solutions in such systems. Using the Paley–Wiener theorem, the exponential estimate for the profiles of such solutions has been obtained.