Lindstedt Series Solutions of the Fermi-Pasta-Ulam Lattice
J. Math. Phys., 48, 052702 (2007) We apply the Lindstedt method to the one dimensional Fermi-Pasta-Ulam $\beta$ lattice to find fully general solutions to the complete set of equations of motion. The pertubative scheme employed uses $\epsilon$ as the expansion parameter, where $\epsilon$ is the coef...
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| Zusammenfassung: | J. Math. Phys., 48, 052702 (2007) We apply the Lindstedt method to the one dimensional Fermi-Pasta-Ulam $\beta$
lattice to find fully general solutions to the complete set of equations of
motion. The pertubative scheme employed uses $\epsilon$ as the expansion
parameter, where $\epsilon$ is the coefficient of the quartic coupling between
nearest neighbors. We compare our non-secular perturbative solutions to
numerical solutions and find striking agreement. |
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| DOI: | 10.48550/arxiv.math-ph/0703037 |