Periodic and homoclinic travelling waves in infinite lattices
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Publication:631671
DOI10.1016/J.NA.2010.11.011zbMath1213.37106OpenAlexW1995597165MaRDI QIDQ631671
Publication date: 14 March 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.11.011
Related Items (11)
Ground states for infinite lattices with nearest neighbor interaction ⋮ Periodic and solitary travelling waves in infinite lattices without Ambrosetti-Rabinowitz condition ⋮ 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 ⋮ Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems ⋮ Multiple periodic solutions for lattice dynamical systems with superquadratic potentials ⋮ Periodic motion for FPU lattice dynamical systems with the strongly indefinite case ⋮ Existence of solitary traveling waves in a system of nonlinearly coupled oscillators on the 2D lattice ⋮ Travelling lattice waves in a toy model of Lennard-Jones interaction ⋮ Unnamed Item ⋮ Homoclinic traveling waves in discrete sine-Gordon equation with nonlinear interaction on 2D-lattice
Cites Work
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- Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction
- Periodic traveling waves in chains of oscillators
- Existence theorem for solitary waves on lattices
- Solitary waves with prescribed speed on infinite lattices
- Travelling waves in a chain of coupled nonlinear oscillators
- Dual variational methods in critical point theory and applications
- Periodic solutions of hamiltonian systems
- Homoclinic orbits for a class of Hamiltonian systems
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