Discrete breathers in systems with homogeneous potentials - analytic solutions

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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10 pages

Scientific paper

10.1103/PhysRevLett.83.248

We construct lattice Hamiltonians with homogeneous interaction potentials
which allow for explicit breather solutions. Especially we obtain exponentially
localized solutions for $d$-dimensional lattices with $d=2,3$.

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