Quasideterminant solutions of nonlinear Schrödinger equations based on Hermitian symmetric spaces

Quasideterminant solutions of nonlinear Schrödinger (NLS) equations based on Hermitian symmetric spaces, have been investigated. Matrix Darboux transformation method has been employed to construct quasideterminant multi-soliton solutions of the system. By using properties of quasideterminants, a general expression of multi-soliton solutions of the symmetric space NLS equations is obtained. Finally, explicit expressions of one and two soliton solutions of NLS equations based on Hermitian symmetric spaces of types AIII,CI and DIII have been calculated.