Korteweg–de Vries superequation related to the Lie superalgebra of Neveu-Schwarz-2 string theory

Relations existing between Korteveg–de Vries equation, Virasoro algebra and Kac–Moody algebra sl(2)$^{\wedge}$ make it possible to construct an integrable superquation, which represents an analogue of Korteveg–de Vries equation for the Neveu–Schwarz-2 superalgebra by means of the hamiltonian reduction method from the Kac–Moody algebra sl(2|1)$^{\wedge}$.