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Revista mexicana de física

versão impressa ISSN 0035-001X

Resumo

CHERMAN, A.; FERREIRA FILHO, L.G.; SANTOS GUEDES, L.L.  e  HELAYEL-NETO, J.A.. Explicit classical solutions and comments on Higher-Derivative Klein-Gordon equation in (1+1)-D. Rev. mex. fis. [online]. 2012, vol.58, n.5, pp.384-390. ISSN 0035-001X.

We present a simple and general method to solve higher-power D'Alembert equation in (1+1) dimensions for a set of completely general initial conditions. Explicit solutions are written down for the cases of []2 and []3 and the singularity structure is manifest through the derivative terms of some of the initial-condition functions. The explicit solutions found out may be useful if one wishes to device external sources which may suppress the non-physical modes introduced by the higher derivatives.

Palavras-chave : Higher-derivative theories; 2D theories; ghosts.

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