Travelling waves for a Frenkel-Kontorova chain
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Publication:529140
DOI10.1016/j.jde.2017.03.046zbMath1406.37056arXiv1507.03189OpenAlexW2962791584WikidataQ59902135 ScholiaQ59902135MaRDI QIDQ529140
Johannes Zimmer, Boris Buffoni, Hartmut R. Schwetlick
Publication date: 18 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.03189
Periodic solutions to PDEs (35B10) Hamilton's equations (70H05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lattice dynamics; integrable lattice equations (37K60) Traveling wave solutions (35C07)
Related Items (2)
Depinning transition of travelling waves for particle chains ⋮ Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential
Cites Work
- Theory of functional differential equations. 2nd ed
- Existence theorem for solitary waves on lattices
- Mobility of lattice defects: Discrete and continuum approaches.
- Travelling waves in a chain of coupled nonlinear oscillators
- Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation
- Lattice friction for crystalline defects: from dislocations to cracks
- Subsonic Phase Transition Waves in Bistable Lattice Models with Small Spinodal Region
- Existence of subsonic heteroclinic waves for the Frenkel–Kontorova model with piecewise quadratic on-site potential
- Existence of Dynamic Phase Transitions in a One-Dimensional Lattice Model with Piecewise Quadratic Interaction Potential
- Travelling waves in discrete nonlinear systems with non-nearest neighbour interactions
- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
- Kinetics of Martensitic Phase Transitions: Lattice model
- One-dimensional dislocations IV. Dynamics
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