Abstract
We study derivative nonlinear Schrödinger 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.
Information
Published: 1 January 2013
First available in Project Euclid: 13 July 2015
zbMATH: 1382.81093
MathSciNet: MR3183941
Digital Object Identifier: 10.7546/giq-14-2013-215-226
Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
