Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations
Binary Darboux transformation for nonlocal nonlinear Schr\\odinger equations
Wen-Xiu Ma
University of South Florida USA
Co-Author(s):
Abstract:
A binary Darboux transformation is presented for nonlocal nonlinear Schr\odinger equations. The key is to use eigenfunctions and adjoint eigenfunctions and a reduction leads to the classical Darboux transformation. An application starting from zero potentials generates soliton solutions.