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

DOI10.1007/s10958-024-07164-3MaRDI QIDQ6598484

G. M. Kovtonyuk, S. M. Bak

Publication date: 5 September 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

critical point theorynonlocal interactionperiodic approximationssolitary traveling waves2D latticeFermi-Pasta-Ulam-type systems

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

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