科研之友
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摘要
In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of g/(2,C). Then we construct some nonlocal symmetries of the Frobenius sinh-Gordon system using its Backlund transformation and infinitesimal transformations. Based on the nonlocal symmetries, we show some conserved densities of the Frobenius sinh-Gordon system. Using these symmetries, we also construct some new coupled integro-differential systems.
