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We study derivative nonlinear Schrodinger equations related to symmetric spaces of the type A.III. We discuss the spectral properties of the corresponding Lax operator and develop the direct scattering problem connected to it. By applying an appropriately chosen dressing factor we derive soliton solutions to the nonlinear equation. We find the integrals of motion by using the method of diagonalization of Lax pair.
Valchev, T. (2012). On Multicomponent Derivative Nonlinear Schrodinger Equation Related to Symmetric Spaces. Proceedings of the XIV-th International Conference on Geometry, Integrability and Quantization, June 8–13, 2012, Varna, Bulgaria Ivaïlo M. Mladenov, pp 215–226 doi:10.7546/giq-14-2013-215-226
Government of Ireland Postdoctoral Fellowship in Science, Engineering and Technology