Integrability of Klein–Gordon Equations
作者： Peter A. Clarkson , J. Bryce McLeod , Peter J. Olver , Alfred Ramani
DOI: 10.1137/0517058
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摘要: Using the Painleve test, it is shown that only integrable nonlinear Klein–Gordon equations $u_{xt} = f(u)$ with f a linear combination of exponentials are Liouville, sine-Gordon (or sink-Gordon) and Mikhailov equations. In particular, double equation not integrable.
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