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New integrable string-like fields in 1+1 dimensions

D. K. Demskoy·A. G. Meshkov
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Abstract

The symmetry classification method is applied to the string-like scalar fields in two-dimensional space-time. When the configurational space is three-dimensional and reducible we present the complete list of the systems admiting higher polynomial symmetries of the 3rd, 4th and 5th-order.

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D. K. Demskoy, A. G. Meshkov. 1999-09-07. New integrable string-like fields in 1+1 dimensions. https://arxiv.org/abs/solv-int/9909005

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