Counter-propagating two-soliton solutions in the Fermi–Pasta–Ulam lattice

DOI10.1088/0951-7715/21/12/011zbMath1153.82323arXiv0806.1637OpenAlexW2028336238MaRDI QIDQ3548468

C. Eugene Wayne, Aaron Hoffman

Publication date: 12 December 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1637

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (17)

NONLINEAR WAVES IN NEWTON'S CRADLE AND THE DISCRETE p-SCHRÖDINGER EQUATION ⋮ Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit ⋮ Cnoidal waves on Fermi-Pasta-Ulam lattices ⋮ Solitary waves in FPU-type lattices ⋮ KdV-like solitary waves in two-dimensional FPU-lattices ⋮ Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators ⋮ KdV waves in atomic chains with nonlocal interactions ⋮ Asymptotic stability of \(N\)-solitary waves of the FPU lattices ⋮ Asymptotic stability of the Toda \(m\)-soliton ⋮ High-energy waves in superpolynomial FPU-type chains ⋮ An averaging theorem for FPU in the thermodynamic limit ⋮ Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein–Gordon lattices ⋮ Interaction of modulated pulses in scalar multidimensional nonlinear lattices ⋮ Stability of gasless combustion fronts in one-dimensional solids ⋮ Solitary waves in atomic chains and peridynamical media ⋮ Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains ⋮ Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model

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