Nonlınear schrödınger equatıons on super symmetrıc spaces related to orthogonal-symplectıc lıe superalgebras

Abstract

We obtain new integrable coupled nonlinear partial differential equations by assuming the soliton connection having values in orthogonal-symplectic Lie superalgebras [B(m, n), C(n), D(m, n)]. These equations are coupled Nonlinear Schrödinger equations on various super symmetric spaces.