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Some breathers and multi-breathers for FPU-type chains. (English) Zbl 07136926
Summary: We consider several breather solutions for FPU-type chains that have been found numerically. Using computer-assisted techniques, we prove that there exist true solutions nearby, and in some cases, we determine whether or not the solution is spectrally stable. Symmetry properties are considered as well. In addition, we construct solutions that are close to (possibly infinite) sums of breather solutions.

MSC:
37K60 Lattice dynamics; integrable lattice equations
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
82C22 Interacting particle systems in time-dependent statistical mechanics
Software:
Ada95; MPFR
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