Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤd, d ≥ 1
DOI10.1017/S0013091522000189zbMath1506.37092MaRDI QIDQ5088618
Nikos I. Karachalios, Dirk Hennig
Publication date: 13 July 2022
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Schauder fixed-point theorembreathersdiscrete Klein-Gordonexponential and superexponential localizationhigher-dimensional lattices
Fixed-point theorems (47H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of operator theory to differential and integral equations (47N20) 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)
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