We obtain useful analytic discrete breather solutions in the form of elliptic functions for a large class of physically relevant nonlinear lattices through the application of an algebraic approach. The method we introduce is quite accurate and applies equally well to optic and acoustic chains. We present explicit results for phi;4 and Fermi-Pasta-Ulam lattices and discuss their implications to breather properties such as generation and mobility. The method is useful also in cases where no explicit analytic solutions can be obtained. In the context of the present approach, discrete breathers are shown to be localized cnoidal modes of nonlinear lattices.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)