Painlevé analysis and complete integrability of coupled Klein-Gordon equations

Porsezian, K. ; Alagesan, T. (1995) Painlevé analysis and complete integrability of coupled Klein-Gordon equations Physics Letters A, 198 (5-6). pp. 378-382. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0375-9601(95)00034-Z

Abstract

We apply the Painlevé singularity structure analysis to the nonlinear coupled Klein-Gordon equations and to their hierarchies and find that they admit the Painlevé property. Then, by truncating the Laurent series, we identify the Hirota bilinear form which is in agreement with the earlier results. Finally, N-coupled Klein-Gordon equations are identified.

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