Kink solutions of the classical anisotropic XY chain

DOI10.1016/J.NA.2009.07.006zbMath1179.82086OpenAlexW1969497794MaRDI QIDQ1049027

Andreas Johann

Publication date: 8 January 2010

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.2009.07.006

zbMATH Keywords

XY modellattice differential equationskink solutions

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Boundary value problems for functional-differential equations (34K10)

Cites Work

• Unnamed Item
• On the dynamics of the classical transverse field Ising chain
• The global structure of traveling waves in spatially discrete dynamical systems
• Multistability in networks of weakly coupled bistable units
• Generalized implicit function theorems when the derivative has no bounded inverse
• DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS

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