Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems

DOI10.1016/j.physd.2020.132414zbMath1493.37089arXiv1910.11864OpenAlexW2982084829MaRDI QIDQ2115539

Panayotis G. Kevrekidis, Björn Sandstede, Ross Parker

Publication date: 17 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11864

zbMATH Keywords

multi-pulse solutionslattice differential equationsLin's methodHamiltonian lattice systems

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (8)

Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach ⋮ Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry ⋮ Language competition on lattices ⋮ Spatiotemporal dynamics in a twisted, circular waveguide array ⋮ Existence of odd, even, and multi-pulse discrete breathers in infinite Fermi-Pasta-Ulam lattices ⋮ Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms ⋮ Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation ⋮ Stationary multi-kinks in the discrete sine-Gordon equation

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