Abstract
Potential complete constraints (symmetric and nonsymmetric) of the complex KP and MKP systems are derived by using the general theory for a nonlinear equation to be a Hamiltonian system. All the complex Hamiltonian equations corresponding to this kind of constraint are obtained, which contain the famous nonlinear Schrödinger equations and several new Hamiltonian equations. In addition, the classical Kaup–Newell system and the Heisenberg system are also led by a new reduction approach from the MKP system.
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