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We study the existence and stability of multibreathers in Klein-Gordon chainswith interactions that are not restricted to nearest neighbors. We provide ageneral framework where such long range effects can be taken into considerationfor arbitrarily varying (as a function of the node distance) linear couplingsbetween arbitrary sets of neighbors in the chain. By examining special caseexamples such as three-site breathers with next-nearest-neighbors, we find {\itcrucial} modifications to the nearest-neighbor picture of one-dimensionaloscillators being excited either in- or anti-phase. Configurations withnontrivial phase profiles, arise, as well as spontaneous symmetry breaking(pitchfork) bifurcations, when these states emerge from (or collide with) theones with standard (0 or $\pi$) phase difference profiles. Similarbifurcations, both of the supercritical and of the subcritical type emerge whenexamining four-site breathers with either next-nearest-neighbor or eveninteractions with the three-nearest one-dimensional neighbors. The lattersetting can be thought of as a prototype for the two-dimensional buildingblock, namely a square of lattice nodes, which is also examined. Our analyticalpredictions are found to be in very good agreement with numerical results.

Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors