Geometry and integrability of the M-LXIX equation

2001/10/05 by Kuralay Myrzakul, Myrzakul, Kuralay, R. Myrzakulov +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons #math.DG

paper · pdf · doi:10.48550/arxiv.math/0110062

5 pages, Latex, no figures

arxiv created 2001/10/05 · openalex publication_date 2001/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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