Nonlocal symmetries of Frobenius sinh-Gordon systems
Nonlocal symmetries of Frobenius sinh-Gordon systems
In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of $gl(2,\mathbb {C})$ . Then we construct some nonlocal symmetries of the Frobenius sinh-Gordon system using its Bäcklund transformation and infinitesimal transformations. Based on the nonlocal symmetries, we show some conserved densities …