Constructing the multicomponent coupling Davey–Stewardson (DS) hierarchy with pseudodifferential operator

Algebra of pseudodifferential operators for constructing the multicomponent Davey–Stewardson (DS) hierarchy of evolution equation is presented, then, we consider the Hamiltonian structure of the (1+2)-dimensional multicomponent DS equation hierarchy. Finally, the integrable coupling system of (1+2)-dimensional multicomponent DS hierarchy is obtained through enlarging matrix spectral problem.