Periodic traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice

DOI10.30970/ms.60.2.180-190OpenAlexW4389886632MaRDI QIDQ6180908

G. M. Kovtonyuk, S. M. Bak

Publication date: 22 January 2024

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.60.2.180-190

zbMATH Keywords

Mountain Pass Theoremperiodic traveling wavesNehari manifoldnonlocal interactionCerami condition2D-lattice, critical pointsFermi-Pasta-Ulam type systems

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems for functional-differential equations (34K10) Ordinary lattice differential equations (34A33)

Cites Work

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• Breathers in nonlinear lattices: existence, linear stability and quantization
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• Traveling waves in Fermi-Pasta-Ulam chains with nonlocal interaction
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• Existence of traveling solitary waves in Fermi-Pasta-Ulam-type systems with saturable nonlinearities on 2D-lattice
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Approximations to solitary waves on lattices, III: the monatomic lattice with second-neighbour interactions
• Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
• Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions
• Discrete breathers in a two-dimensional Fermi–Pasta–Ulam lattice

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