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Geometry and integrability of the M-LXIX equation

Kuralay Myrzakul·R. Myrzakulov
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Abstract

The L-equivalent counterpart of the M-LXIX equation is found. This L-equivalent equation is the Gauss-Codazzi equation which is integrable by the dressing method. This means that the M-LXIX equation is also integrable in this sense.

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Kuralay Myrzakul, R. Myrzakulov. 2001-10-05. Geometry and integrability of the M-LXIX equation. https://arxiv.org/abs/math/0110062

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