Existence of solitary traveling waves in Fermi-Pasta-Ulam system on 2D-lattice

DOI10.15330/MS.50.1.75-87zbMath1411.35180OpenAlexW2910374620WikidataQ128560509 ScholiaQ128560509MaRDI QIDQ2414409

S. M. Bak, G. M. Kovtonyuk

Publication date: 13 May 2019

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

Full work available at URL: https://doi.org/10.15330/ms.50.1.75-87

zbMATH Keywords

inverse problemboundary-value problemunique solvabilityultraparabolic equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (7)

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 Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice ⋮ 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

• Traveling waves in systems of oscillators on 2D-lattices
• 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
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Periodic traveling waves in chains of oscillators
• Travelling waves in a chain of coupled nonlinear oscillators
• Existence of solitary traveling waves in a system of nonlinearly coupled oscillators on the 2D lattice
• Geometric solitary waves in a 2D mass-spring lattice
• Existence of Heteroclinic Traveling Waves in a System of Oscillators on a Two-Dimensional Lattice
• Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions
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