We find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number n > 2 of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analogue of the pmKdV equation.
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Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 12, No. 7, pp. 117–128, 2006.
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Marvan, M., Pobořil, M. Recursion operator for the intrinsic generalized sine-Gordon equation. J Math Sci 151, 3151–3158 (2008). https://doi.org/10.1007/s10958-008-9024-4