Dispersion relation of the non-linear Klein-Gordon equation through a variational method

Details Dispersion relation of the non-linear Klein-Gordon equation through a variational method Dispersion relation of the non-linear Klein-Gordon equation through a variational method

2005-05-17

arxiv.org/abs/math-ph/0505044v2

Physics

Mathematical Physics

10 pages, 3 figures, matches published version

Scientific paper

10.1063/1.2176393

We derive approximate expressions for the dispersion relation of the nonlinear Klein-Gordon equation in the case of strong nonlinearities using a method based on the Linear Delta Expansion. All the results obtained in this article are fully analytical, never involve the use of special functions, and can be used to obtain systematic approximations to the exact results to any desired degree of accuracy. We compare our findings with similar results in the literature and show that our approach leads to better and simpler results.

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