Author(s)

Jian Chen^*

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

In this paper, I construct a generalized Darboux transformation for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time symmetric potential. The N-order rational solution is derived by the iterative rule and it can be expressed by the determinant form. In particular, I calculate first-order and second-order rational solutions and obtain their figures according to different parameters.

Generalized Darboux Transformation, Rational Solutions, Nonlocal Nonlinear Schrödinger Equation

Chen, J. (2015) Generalized Darboux Transformation and Rational Solutions for the Nonlocal Nonlinear Schrödinger Equation with the Self-Induced Parity-Time Symmetric Potential. Journal of Applied Mathematics and Physics, 3, 530-536. doi: 10.4236/jamp.2015.35065.