On the Prolongation Structure and Backlund Transformation for New Nonlinear Klein-Gordon Equations : General and Mathematical Physics

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概要

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• We have considered the complete integrability of two nonlinear equations which are some kind of extensions of usual sine-Gordon and sinh-Gordon equations. The first one is of non-autonomous version of sinh-Gordon system and the second is closely related to the usual sine-Gordon theory. The first problem indicates how (x,t) dependent nonlinear equations can be treated in the prolongation theory and how a Backlund map can be constructed. The second one is a variation of the usual sine-Gordon equation and suggests that there may be other equations (similar to sine-Gordon) which are completely integrable. In both the cases we have been able to construct the Lax pair. We then construct an auto-Backlund map by following the idea of Konno and Wadati, for the generation of multisolution states_.

• 理論物理学刊行会の論文
• 1987-02-25

著者

• Chowdhury A.roy

  International Centre Fot Theoretical Physics

• MUKHERJEE Jayashree

  High Energy Physics Division, Department of Physics Jadavpur University

• Mukherjee Jayashree

  High Energy Physics Division Department Of Physics Jadavpur University

関連論文

• On the Prolongation Structure and Backlund Transformation for New Nonlinear Klein-Gordon Equations : General and Mathematical Physics

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