Existence of solitary traveling waves in a system of nonlinearly coupled oscillators on the 2D lattice

DOI10.1007/s11253-017-1378-7zbMath1498.34059OpenAlexW2761682251MaRDI QIDQ1729610

S. M. Bak

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1378-7

zbMATH Keywords

solitary traveling waves2D latticeinfinite system of nonlinearly coupled nonlinear oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations of infinite order (34A35) Solitary waves in solid mechanics (74J35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

Well-posedness of the Cauchy problem for system of oscillators on 2D-lattice in weighted \(L^2\)-spaces ⋮ Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities ⋮ Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice ⋮ Existence of solitary traveling waves in Fermi-Pasta-Ulam system on 2D-lattice ⋮ Periodic traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice ⋮ Global well-posedness of the Cauchy problem for a system of oscillators on a 2D-lattice with power potentials ⋮ Existence of traveling solitary waves in Fermi-Pasta-Ulam-type systems with saturable nonlinearities on 2D-lattice ⋮ Existence of traveling waves in Fermi-Pasta-Ulam-type systems on a 2D-lattice ⋮ Unnamed Item ⋮ Homoclinic traveling waves in discrete sine-Gordon equation with nonlinear interaction on 2D-lattice

Cites Work

• Unnamed Item
• Existence of periodic travelling waves in Fermi-Pasta-Ulam system on 2D-lattice
• Periodic and homoclinic travelling waves in infinite lattices
• Existence of periodic traveling waves in a system of nonlinear oscillators on a two-dimensional lattice
• Periodic travelling waves in chains of oscillators
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Periodic traveling waves in chains of oscillators
• Travelling waves in a chain of coupled nonlinear oscillators
• Geometric solitary waves in a 2D mass-spring lattice
• Minimax theorems
• The Fermi-Pasta-Ulam problem. A status report
• Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions

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